class: title-slide background-image: url("https://raw.githubusercontent.com/garthtarr/sydney_xaringan/master/assets/USydLogo-white.svg"), url("https://raw.githubusercontent.com/garthtarr/sydney_xaringan/master/assets/title-image1.jpg") background-position: 10% 90%, 100% 50% background-size: 160px, 50% 100% background-color: #0148A4 # .text-shadow[.white[STAT5003]] ## .white[Week 10 : Monte Carlo] ### .white[Dr. Justin Wishart] ### .white[Semester 2, 2020] --- ## Readings
* Easily accessible text in Shonkwiler and Mendivil (2009) --- class: segue-yellow background-image: url("https://raw.githubusercontent.com/garthtarr/sydney_xaringan/master/assets/USydLogo.svg") background-size: 20% background-position: 95% 95% # Monte Carlo Methods --- ## What are Monte Carlo methods? * Monte Carlo are a class of computational methods that can be applied to a wide range of problems * Key aspect of Monte Carlo methods are that they rely on __random sampling__ * Generally provide approximate solutions - not exact solutions * Used in cases where analytical solutions don’t exist or are too difficult to implement * Monte Carlo methods are sometimes referred to as stochastic simulation --- ## History of the Monte Carlo method .columns-2[ .pull-left[ * Invented by a Polish mathematician called Stanislaw Ulam in the late 1940s * Inspiration during recovery from illness with a thought experiment: .scriptsize[ > The question was what are the chances that a Canfield Solitaire laid out with 52 cards will come out successfully? After spending a lot of time trying to estimate them by pure combinatorial calculations, I wondered whether a more practical method than "abstract thinking" might not be to lay it out say one hundred times and simply observe and count the number of successful plays. ] * Monte Carlo was the code name given for the project. - Inspired by the Monte Carlo casino in Monaco where Ulam's uncle would borrow family money to gamble. ] .pull-right[ <img src="https://upload.wikimedia.org/wikipedia/commons/8/8a/STAN_ULAM_HOLDING_THE_FERMIAC.jpg" width="80%"/> ] ] --- ## Monte Carlo estimation of `\(\pi\)` .columns-2[ .pull-left[ <img src="data:image/svg+xml;base64,<?xml version='1.0' encoding='UTF-8' ?>
<svg xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' viewBox='0 0 432.00 432.00'>
<defs>
  <style type='text/css'><![CDATA[
    line, polyline, polygon, path, rect, circle {
      fill: none;
      stroke: #000000;
      stroke-linecap: round;
      stroke-linejoin: round;
      stroke-miterlimit: 10.00;
    }
  ]]></style>
</defs>
<rect width='100%' height='100%' style='stroke: none; fill: #FFFFFF;'/>
<defs>
  <clipPath id='cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4'>
    <rect x='38.61' y='5.48' width='387.91' height='394.80' />
  </clipPath>
</defs>
<polyline points='38.61,337.47 426.52,337.47 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<polyline points='38.61,247.74 426.52,247.74 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<polyline points='38.61,158.01 426.52,158.01 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<polyline points='38.61,68.29 426.52,68.29 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<polyline points='100.32,400.28 100.32,5.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<polyline points='188.48,400.28 188.48,5.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<polyline points='276.65,400.28 276.65,5.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<polyline points='364.81,400.28 364.81,5.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<polyline points='38.61,382.33 426.52,382.33 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<polyline points='38.61,292.60 426.52,292.60 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<polyline points='38.61,202.88 426.52,202.88 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<polyline points='38.61,113.15 426.52,113.15 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<polyline points='38.61,23.42 426.52,23.42 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<polyline points='56.24,400.28 56.24,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<polyline points='144.40,400.28 144.40,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<polyline points='232.56,400.28 232.56,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<polyline points='320.73,400.28 320.73,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<polyline points='408.89,400.28 408.89,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='259.35' cy='54.09' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='208.84' cy='356.37' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='258.46' cy='165.93' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='312.58' cy='225.17' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='222.77' cy='114.11' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='217.30' cy='289.40' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='234.24' cy='215.96' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='205.74' cy='100.05' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='295.18' cy='270.04' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='104.96' cy='230.67' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='83.40' cy='100.03' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='337.33' cy='378.87' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='364.80' cy='355.08' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='99.93' cy='109.37' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='214.17' cy='289.35' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='215.36' cy='139.44' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='335.19' cy='301.26' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='175.00' cy='272.60' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='151.30' cy='260.53' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='373.89' cy='57.52' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='80.04' cy='80.45' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='194.28' cy='168.48' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='243.08' cy='61.24' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='122.08' cy='374.04' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='208.75' cy='122.50' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='279.51' cy='142.18' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='87.79' cy='73.79' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='79.39' cy='263.37' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='140.59' cy='166.72' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='148.63' cy='224.29' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='198.77' cy='41.22' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='306.72' cy='29.10' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='165.92' cy='224.98' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='94.35' cy='227.88' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='395.25' cy='193.23' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='175.22' cy='82.22' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='226.04' cy='63.30' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='241.21' cy='235.53' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='86.29' cy='261.34' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='146.23' cy='315.26' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='363.03' cy='86.85' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='372.18' cy='241.71' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='209.81' cy='197.59' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='158.16' cy='375.43' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='400.98' cy='53.07' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='201.34' cy='363.37' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='95.29' cy='129.85' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='78.57' cy='86.12' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='292.13' cy='134.43' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='111.27' cy='114.09' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='342.05' cy='95.83' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='63.83' cy='62.58' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='313.38' cy='35.01' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='81.42' cy='234.32' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='391.36' cy='54.50' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='311.72' cy='190.85' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='93.73' cy='229.55' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='266.41' cy='86.23' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='351.18' cy='344.45' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='205.44' cy='233.05' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='265.08' cy='59.22' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='141.59' cy='106.26' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='305.21' cy='312.05' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='254.10' cy='200.59' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='81.13' cy='178.93' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='196.38' cy='219.11' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='94.49' cy='163.03' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='345.21' cy='299.03' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='379.41' cy='306.80' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='132.48' cy='133.94' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='336.37' cy='234.81' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='299.84' cy='113.76' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='120.10' cy='327.19' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='227.77' cy='269.22' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='158.94' cy='29.18' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='177.84' cy='227.79' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='163.59' cy='324.90' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='229.72' cy='242.53' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='173.75' cy='208.76' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='135.36' cy='334.60' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='399.11' cy='44.35' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='364.42' cy='47.44' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='190.26' cy='355.79' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='319.80' cy='268.63' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='160.40' cy='104.59' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='308.89' cy='94.59' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='136.16' cy='324.38' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='163.34' cy='225.73' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='172.20' cy='176.70' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='91.18' cy='92.53' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='151.95' cy='328.02' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='204.89' cy='49.63' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='61.75' cy='172.88' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='163.81' cy='23.64' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='145.90' cy='359.37' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='364.02' cy='181.63' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='388.28' cy='201.10' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='353.95' cy='45.00' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='108.96' cy='274.58' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='405.52' cy='54.72' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='294.50' cy='32.41' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='293.31' cy='273.66' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='139.80' cy='49.42' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='237.29' cy='338.91' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='74.39' cy='256.15' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='309.10' cy='264.25' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='327.20' cy='139.97' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='296.64' cy='101.26' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='317.92' cy='119.34' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='82.25' cy='63.24' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='188.81' cy='171.81' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='109.60' cy='169.10' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='397.25' cy='347.01' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='72.72' cy='108.47' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='403.78' cy='308.95' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='83.36' cy='139.32' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='147.45' cy='153.71' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='148.39' cy='159.05' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='220.92' cy='69.91' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='113.51' cy='221.85' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='363.76' cy='35.04' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='97.72' cy='335.44' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='304.69' cy='176.86' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='121.68' cy='286.27' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='161.86' cy='85.86' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='179.78' cy='101.71' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='284.91' cy='25.21' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='263.00' cy='228.53' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='139.80' cy='263.68' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='256.80' cy='178.48' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='176.91' cy='55.41' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='303.51' cy='358.05' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='228.25' cy='193.48' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='139.35' cy='316.13' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='346.78' cy='115.18' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='221.25' cy='342.11' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='187.36' cy='23.54' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='182.96' cy='364.12' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='276.58' cy='334.39' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='188.55' cy='367.10' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='240.92' cy='169.57' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='224.50' cy='182.12' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='242.61' cy='151.26' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='131.32' cy='161.56' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='315.89' cy='254.57' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='376.28' cy='130.70' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='349.75' cy='254.55' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='252.17' cy='230.33' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='331.14' cy='261.91' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='337.46' cy='79.37' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='302.20' cy='350.76' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='407.70' cy='154.70' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='346.24' cy='155.54' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='287.65' cy='180.59' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='358.63' cy='155.42' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='321.99' cy='203.72' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='303.06' cy='324.83' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='382.98' cy='226.65' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='378.94' cy='137.69' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='261.59' cy='261.25' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='185.95' cy='42.20' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='197.36' cy='315.81' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='333.01' cy='345.61' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='257.29' cy='181.82' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='186.98' cy='225.98' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='133.24' cy='45.51' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='367.63' cy='276.79' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='270.34' cy='145.04' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='264.09' cy='110.67' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='318.22' cy='294.04' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='296.84' cy='166.70' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='238.49' cy='284.05' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='322.35' cy='72.15' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='143.80' cy='180.05' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='254.90' cy='65.97' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='271.36' cy='297.40' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='154.72' cy='277.28' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='340.93' cy='99.61' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='71.30' cy='370.91' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='192.77' cy='107.08' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='124.57' cy='235.89' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='132.35' cy='60.31' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='394.77' cy='236.73' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='286.64' cy='292.40' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='65.77' cy='30.66' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='171.89' cy='325.85' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='368.70' cy='311.61' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='168.34' cy='172.14' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='160.31' cy='167.09' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='212.19' cy='24.19' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='151.98' cy='29.53' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='202.62' cy='218.48' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='111.78' cy='142.36' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='163.28' cy='133.20' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='394.84' cy='219.79' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='205.95' cy='102.07' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='382.60' cy='198.45' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='309.91' cy='321.82' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='186.03' cy='287.39' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='194.07' cy='296.03' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='240.58' cy='379.55' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='97.27' cy='261.69' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='262.85' cy='264.83' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='349.08' cy='175.15' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='252.81' cy='106.92' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='343.27' cy='225.79' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='375.23' cy='287.07' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='62.29' cy='88.79' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='370.70' cy='116.13' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='70.83' cy='44.19' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='67.72' cy='310.71' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='312.98' cy='81.76' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='77.53' cy='30.15' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='151.53' cy='216.39' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='352.73' cy='375.47' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='297.33' cy='218.12' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='78.36' cy='26.41' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='382.13' cy='139.03' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='346.87' cy='201.82' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='310.00' cy='147.35' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='337.80' cy='214.33' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='208.30' cy='351.83' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='324.27' cy='32.29' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='84.50' cy='105.89' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='93.94' cy='88.80' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='245.69' cy='265.59' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='87.60' cy='48.42' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='338.57' cy='232.13' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='292.55' cy='59.81' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='197.82' cy='49.50' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='88.83' cy='314.63' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='405.60' cy='177.04' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='319.17' cy='172.51' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='120.40' cy='305.42' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='322.13' cy='237.43' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='152.50' cy='79.25' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='334.22' cy='198.43' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='237.13' cy='366.80' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='383.84' cy='310.76' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='398.37' cy='274.21' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='76.04' cy='24.88' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='89.11' cy='378.38' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='127.50' cy='214.84' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='362.75' cy='149.15' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='133.18' cy='373.17' r='1.95' style='stroke-width: 0.71; stroke: #00BFC4; fill: #00BFC4;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='123.53' cy='194.25' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='166.04' cy='109.49' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='176.30' cy='221.02' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='114.37' cy='261.82' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<circle cx='233.61' cy='135.89' r='1.95' style='stroke-width: 0.71; stroke: #F8766D; fill: #F8766D;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<polyline points='232.56,23.42 235.64,23.45 238.72,23.53 241.79,23.67 244.86,23.86 247.93,24.11 251.00,24.41 254.05,24.76 257.10,25.17 260.15,25.63 263.18,26.15 266.21,26.72 269.22,27.35 272.23,28.02 275.22,28.76 278.20,29.54 281.17,30.38 284.12,31.27 287.05,32.21 289.97,33.20 292.87,34.25 295.75,35.34 298.62,36.49 301.46,37.69 304.28,38.94 307.08,40.24 309.86,41.59 312.61,42.98 315.34,44.43 318.05,45.92 320.73,47.47 323.38,49.06 326.00,50.69 328.60,52.38 331.16,54.10 333.70,55.88 336.20,57.70 338.68,59.56 341.12,61.47 343.53,63.42 345.90,65.41 348.24,67.44 350.55,69.52 352.82,71.63 355.05,73.79 357.24,75.99 359.40,78.22 361.52,80.49 363.60,82.80 365.64,85.15 367.64,87.53 369.59,89.94 371.51,92.40 373.38,94.88 375.21,97.40 377.00,99.95 378.74,102.53 380.44,105.14 382.10,107.78 383.70,110.45 385.27,113.15 386.78,115.88 388.25,118.63 389.67,121.41 391.04,124.21 392.37,127.04 393.64,129.89 394.87,132.76 396.05,135.65 397.18,138.57 398.25,141.50 399.28,144.45 400.26,147.42 401.18,150.41 402.06,153.41 402.88,156.43 403.65,159.46 404.37,162.51 405.04,165.57 405.65,168.64 406.21,171.72 406.72,174.81 407.17,177.90 407.57,181.01 407.92,184.12 408.22,187.24 408.46,190.36 408.65,193.49 408.78,196.61 408.86,199.75 408.89,202.88 408.86,206.01 408.78,209.14 408.65,212.27 408.46,215.40 408.22,218.52 407.92,221.64 407.57,224.75 407.17,227.85 406.72,230.95 406.21,234.04 405.65,237.12 405.04,240.19 404.37,243.25 403.65,246.29 402.88,249.32 402.06,252.34 401.18,255.34 400.26,258.33 399.28,261.30 398.25,264.25 397.18,267.19 396.05,270.10 394.87,273.00 393.64,275.87 392.37,278.72 391.04,281.54 389.67,284.35 388.25,287.13 386.78,289.88 385.27,292.60 383.70,295.30 382.10,297.97 380.44,300.61 378.74,303.23 377.00,305.81 375.21,308.36 373.38,310.88 371.51,313.36 369.59,315.81 367.64,318.23 365.64,320.61 363.60,322.96 361.52,325.26 359.40,327.54 357.24,329.77 355.05,331.97 352.82,334.12 350.55,336.24 348.24,338.31 345.90,340.35 343.53,342.34 341.12,344.29 338.68,346.20 336.20,348.06 333.70,349.88 331.16,351.65 328.60,353.38 326.00,355.06 323.38,356.70 320.73,358.29 318.05,359.83 315.34,361.33 312.61,362.77 309.86,364.17 307.08,365.52 304.28,366.82 301.46,368.07 298.62,369.26 295.75,370.41 292.87,371.51 289.97,372.55 287.05,373.55 284.12,374.49 281.17,375.38 278.20,376.22 275.22,377.00 272.23,377.73 269.22,378.41 266.21,379.03 263.18,379.60 260.15,380.12 257.10,380.58 254.05,380.99 251.00,381.35 247.93,381.65 244.86,381.89 241.79,382.08 238.72,382.22 235.64,382.30 232.56,382.33 229.49,382.30 226.41,382.22 223.34,382.08 220.26,381.89 217.20,381.65 214.13,381.35 211.08,380.99 208.02,380.58 204.98,380.12 201.95,379.60 198.92,379.03 195.90,378.41 192.90,377.73 189.91,377.00 186.93,376.22 183.96,375.38 181.01,374.49 178.08,373.55 175.16,372.55 172.26,371.51 169.38,370.41 166.51,369.26 163.67,368.07 160.85,366.82 158.05,365.52 155.27,364.17 152.52,362.77 149.79,361.33 147.08,359.83 144.40,358.29 141.75,356.70 139.13,355.06 136.53,353.38 133.97,351.65 131.43,349.88 128.92,348.06 126.45,346.20 124.01,344.29 121.60,342.34 119.23,340.35 116.89,338.31 114.58,336.24 112.31,334.12 110.08,331.97 107.88,329.77 105.73,327.54 103.61,325.26 101.53,322.96 99.49,320.61 97.49,318.23 95.54,315.81 93.62,313.36 91.75,310.88 89.92,308.36 88.13,305.81 86.39,303.23 84.69,300.61 83.03,297.97 81.43,295.30 79.86,292.60 78.35,289.88 76.88,287.13 75.46,284.35 74.09,281.54 72.76,278.72 71.48,275.87 70.26,273.00 69.08,270.10 67.95,267.19 66.87,264.25 65.85,261.30 64.87,258.33 63.95,255.34 63.07,252.34 62.25,249.32 61.48,246.29 60.76,243.25 60.09,240.19 59.48,237.12 58.92,234.04 58.41,230.95 57.96,227.85 57.56,224.75 57.21,221.64 56.91,218.52 56.67,215.40 56.48,212.27 56.35,209.14 56.27,206.01 56.24,202.88 56.27,199.75 56.35,196.61 56.48,193.49 56.67,190.36 56.91,187.24 57.21,184.12 57.56,181.01 57.96,177.90 58.41,174.81 58.92,171.72 59.48,168.64 60.09,165.57 60.76,162.51 61.48,159.46 62.25,156.43 63.07,153.41 63.95,150.41 64.87,147.42 65.85,144.45 66.87,141.50 67.95,138.57 69.08,135.65 70.26,132.76 71.48,129.89 72.76,127.04 74.09,124.21 75.46,121.41 76.88,118.63 78.35,115.88 79.86,113.15 81.43,110.45 83.03,107.78 84.69,105.14 86.39,102.53 88.13,99.95 89.92,97.40 91.75,94.88 93.62,92.40 95.54,89.94 97.49,87.53 99.49,85.15 101.53,82.80 103.61,80.49 105.73,78.22 107.88,75.99 110.08,73.79 112.31,71.63 114.58,69.52 116.89,67.44 119.23,65.41 121.60,63.42 124.01,61.47 126.45,59.56 128.92,57.70 131.43,55.88 133.97,54.10 136.53,52.38 139.13,50.69 141.75,49.06 144.40,47.47 147.08,45.92 149.79,44.43 152.52,42.98 155.27,41.59 158.05,40.24 160.85,38.94 163.67,37.69 166.51,36.49 169.38,35.34 172.26,34.25 175.16,33.20 178.08,32.21 181.01,31.27 183.96,30.38 186.93,29.54 189.91,28.76 192.90,28.02 195.90,27.35 198.92,26.72 201.95,26.15 204.98,25.63 208.02,25.17 211.08,24.76 214.13,24.41 217.20,24.11 220.26,23.86 223.34,23.67 226.41,23.53 229.49,23.45 232.56,23.42 232.56,23.42 ' style='stroke-width: 1.07;' clip-path='url(#cpMzguNjF8NDI2LjUyfDQwMC4yOHw1LjQ4)' />
<defs>
  <clipPath id='cpMC4wMHw0MzIuMDB8NDMyLjAwfDAuMDA='>
    <rect x='0.00' y='0.00' width='432.00' height='432.00' />
  </clipPath>
</defs>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8NDMyLjAwfDAuMDA=)'><text x='18.51' y='385.48' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='15.16px' lengthAdjust='spacingAndGlyphs'>-1.0</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8NDMyLjAwfDAuMDA=)'><text x='18.51' y='295.75' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='15.16px' lengthAdjust='spacingAndGlyphs'>-0.5</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8NDMyLjAwfDAuMDA=)'><text x='21.44' y='206.03' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='12.23px' lengthAdjust='spacingAndGlyphs'>0.0</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8NDMyLjAwfDAuMDA=)'><text x='21.44' y='116.30' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='12.23px' lengthAdjust='spacingAndGlyphs'>0.5</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8NDMyLjAwfDAuMDA=)'><text x='21.44' y='26.57' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='12.23px' lengthAdjust='spacingAndGlyphs'>1.0</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8NDMyLjAwfDAuMDA=)'><text x='48.66' y='411.51' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='15.16px' lengthAdjust='spacingAndGlyphs'>-1.0</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8NDMyLjAwfDAuMDA=)'><text x='136.82' y='411.51' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='15.16px' lengthAdjust='spacingAndGlyphs'>-0.5</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8NDMyLjAwfDAuMDA=)'><text x='226.45' y='411.51' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='12.23px' lengthAdjust='spacingAndGlyphs'>0.0</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8NDMyLjAwfDAuMDA=)'><text x='314.61' y='411.51' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='12.23px' lengthAdjust='spacingAndGlyphs'>0.5</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8NDMyLjAwfDAuMDA=)'><text x='402.77' y='411.51' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='12.23px' lengthAdjust='spacingAndGlyphs'>1.0</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8NDMyLjAwfDAuMDA=)'><text x='229.81' y='424.10' style='font-size: 11.00px; font-family: Arial;' textLength='5.50px' lengthAdjust='spacingAndGlyphs'>x</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8NDMyLjAwfDAuMDA=)'><text transform='translate(13.35,205.63) rotate(-90)' style='font-size: 11.00px; font-family: Arial;' textLength='5.50px' lengthAdjust='spacingAndGlyphs'>y</text></g>
</svg>
" width="70%" /> ] .pull-right[ * Area of circle `\(= \pi r^2\)` and area of square `\(= 4r^2\)` - `\((r\)` is the radius) * A Monte Carlo method to estimate `\(\pi\)`: 1. Randomly draw `\(N\)` points within unit square at random 2. Count the `\(R\)` points which are inside the unit circle 3. Compute the ratio `\(R/N\)` and estimate `\(\pi\)` as `\(4R/N\)` ]] --- ## Using Monte Carlo to estimate `\(\pi\)` In this example, the mathematical statistics of the procedure is: * Write the parameter we want to estimate `\((\pi\)` here) as an expectation * Represent the parameter as a sample approximation `\begin{align*} \mathbb{E} X = \int t f(t) \, dt \approx \frac{1}{N} \sum_{i = 1}^N X_i \end{align*}` * The law of large numbers .brand-red[guarantees] that as the number of samples we draw increase, the parameter converges to the true parameter value. --- ## Expectation of a random variable From last slide, we can write the expected value of a random variable `\(X\)` as a sum: `\begin{align*} \mathbb{E} X = \int_A t\cdot f(t)\, dt \approx \frac{1}{N} \sum_{i = 1}^N X_i \end{align*}` We can replace `\(X\)` with a function `\(g(X)\)`. Then the previous equation becomes: `\begin{align*} \mathbb{E} g(X) = \int_A g(t)\cdot f(t)\, dt \approx \frac{1}{N} \sum_{i = 1}^N g(X_i) \end{align*}` Where we assume to draw `\(x_i \sim f\)` --- ## Monte Carlo Integration example Goal is to evaluate the following definite integral `\begin{align*} \int_0^1 e^{-x^2/2}\, dx (\approx \frac{1}{N} \sum_{i = 1}^N g(X_i)). \end{align*}` Find a random variable such that the above holds. Need to be careful such that, * Domain of the random variable and `\(g\)` agree with the above definition. * One example is, - `\(g(x) = e^{-x^2/2}\)` - `\(X_i\)` is a uniform random variable on (0,1) - Then `\(\mathbb{E}g(X) = \int_0^1 e^{-x^2/2}\, dx \approx \frac{1}{N}\sum_{i = 1}^n g(X_i)\)` --- ## Monte Carlo visually <img src="https://github.com/usydstat5003/stat5003-graphics/blob/master/Week10/possible-visual-MC.png?raw=true" width="80%"/> --- ## Simulating random variable * Let’s say we know how to simulate random variables that has a uniform distribution on some interval `\(U \sim [0,1]\)` - Can do that in `R` with `runif` > How do we simulate random variables that can have any probability distribution? In `R`, we can draw random Gaussian variables using the function `rnorm` but how do these functions really work? Two methods (others exist): 1. Inverse-transform method 2. Acceptance-rejection method --- ## Inverse transform method * Let’s say `\(X\)` is a random variable that has a cumulative distribution function (cdf) `\(F\)`. * Remember that cdf is the integral of the pdf i.e. `\begin{align*} F(x) = \int_{-\infty}^x f(t) \, dt \end{align*}` * If the inverse of `\(F(x)\)` exists, then we can generate `\(X\)` as: `\begin{align*} X = F^{-1}(U) \end{align*}` --- ## Example - Exponential distribution The exponential distribution has a pdf of the form: `\begin{align*} f(x) = \begin{cases}\lambda e^{-\lambda x} & \quad \text{if } x > 0\\ 0 & \quad \text{if }x \le 0\end{cases} \end{align*}` and a cdf of the form: `\begin{align*} F(x) = \begin{cases}1 - e^{-\lambda x} & \quad \text{if } x > 0\\ 0 & \quad \text{if }x \le 0\end{cases} \end{align*}` The inverse cdf is: `\begin{align*} F^{-1}(x) = -\frac{\log(1 - x)}{\lambda} \end{align*}` To sample from the exponential distribution, we can do the following: 1. Sample `\(U \sim \text{Uniform}(0,1)\)` 2. Set `\(X = −\frac{\log(1 - U)}{\lambda}\)` --- ## Acceptance-Rejection method * The problem with the inverse transform method is that you need to know the functional from of the inverse of the cdf * Acceptance-rejection method is a more general method can simulate 'difficult' distributions --- ## Acceptance rejection method * Given two probability densities `\(f(x)\)` and `\(g(x)\)`, with `\(f(x) < Mg(x)\)` for all `\(x\)` * If `\(g(x)\)` is a distribution that can be easily sampled, then we can sample `\(f(x)\)` using the following procedure: 1. Draw a random variable `\(X \sim g(x)\)` 2. Accept `\(X\)` with probability `\(\displaystyle \frac{f(x)}{Mg(x)}\)` 3. Repeat steps 1 and 2 until you have the desired number of random samples --- ## Acceptance-rejection plot <img src="data:image/svg+xml;base64,<?xml version='1.0' encoding='UTF-8' ?>
<svg xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' viewBox='0 0 432.00 266.98'>
<defs>
  <style type='text/css'><![CDATA[
    line, polyline, polygon, path, rect, circle {
      fill: none;
      stroke: #000000;
      stroke-linecap: round;
      stroke-linejoin: round;
      stroke-miterlimit: 10.00;
    }
  ]]></style>
</defs>
<rect width='100%' height='100%' style='stroke: none; fill: #FFFFFF;'/>
<defs>
  <clipPath id='cpNDAuNTd8MzU4Ljg1fDIzNS4yNXw1LjQ4'>
    <rect x='40.57' y='5.48' width='318.28' height='229.77' />
  </clipPath>
</defs>
<polyline points='40.57,198.63 358.85,198.63 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzU4Ljg1fDIzNS4yNXw1LjQ4)' />
<polyline points='40.57,146.27 358.85,146.27 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzU4Ljg1fDIzNS4yNXw1LjQ4)' />
<polyline points='40.57,93.91 358.85,93.91 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzU4Ljg1fDIzNS4yNXw1LjQ4)' />
<polyline points='40.57,41.55 358.85,41.55 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzU4Ljg1fDIzNS4yNXw1LjQ4)' />
<polyline points='55.04,235.25 55.04,5.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzU4Ljg1fDIzNS4yNXw1LjQ4)' />
<polyline points='151.49,235.25 151.49,5.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzU4Ljg1fDIzNS4yNXw1LjQ4)' />
<polyline points='247.93,235.25 247.93,5.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzU4Ljg1fDIzNS4yNXw1LjQ4)' />
<polyline points='344.38,235.25 344.38,5.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzU4Ljg1fDIzNS4yNXw1LjQ4)' />
<polyline points='40.57,224.81 358.85,224.81 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzU4Ljg1fDIzNS4yNXw1LjQ4)' />
<polyline points='40.57,172.45 358.85,172.45 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzU4Ljg1fDIzNS4yNXw1LjQ4)' />
<polyline points='40.57,120.09 358.85,120.09 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzU4Ljg1fDIzNS4yNXw1LjQ4)' />
<polyline points='40.57,67.73 358.85,67.73 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzU4Ljg1fDIzNS4yNXw1LjQ4)' />
<polyline points='40.57,15.37 358.85,15.37 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzU4Ljg1fDIzNS4yNXw1LjQ4)' />
<polyline points='103.26,235.25 103.26,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzU4Ljg1fDIzNS4yNXw1LjQ4)' />
<polyline points='199.71,235.25 199.71,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzU4Ljg1fDIzNS4yNXw1LjQ4)' />
<polyline points='296.16,235.25 296.16,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzU4Ljg1fDIzNS4yNXw1LjQ4)' />
<polyline points='151.49,224.81 151.49,115.91 ' style='stroke-width: 2.13; stroke: #F8766D; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzU4Ljg1fDIzNS4yNXw1LjQ4)' />
<polyline points='151.49,115.91 151.49,98.11 ' style='stroke-width: 2.13; stroke: #7CAE00; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzU4Ljg1fDIzNS4yNXw1LjQ4)' />
<polyline points='55.04,224.34 55.33,224.34 55.62,224.33 55.91,224.32 56.20,224.31 56.49,224.30 56.78,224.29 57.07,224.28 57.36,224.27 57.65,224.26 57.94,224.25 58.23,224.24 58.51,224.23 58.80,224.22 59.09,224.21 59.38,224.20 59.67,224.19 59.96,224.18 60.25,224.17 60.54,224.16 60.83,224.15 61.12,224.14 61.41,224.12 61.70,224.11 61.99,224.10 62.28,224.09 62.57,224.08 62.86,224.06 63.15,224.05 63.44,224.04 63.73,224.02 64.02,224.01 64.31,224.00 64.60,223.98 64.89,223.97 65.18,223.95 65.47,223.94 65.76,223.93 66.05,223.91 66.33,223.90 66.62,223.88 66.91,223.87 67.20,223.85 67.49,223.83 67.78,223.82 68.07,223.80 68.36,223.78 68.65,223.77 68.94,223.75 69.23,223.73 69.52,223.72 69.81,223.70 70.10,223.68 70.39,223.66 70.68,223.64 70.97,223.62 71.26,223.60 71.55,223.59 71.84,223.57 72.13,223.55 72.42,223.53 72.71,223.51 73.00,223.48 73.29,223.46 73.58,223.44 73.87,223.42 74.15,223.40 74.44,223.38 74.73,223.35 75.02,223.33 75.31,223.31 75.60,223.28 75.89,223.26 76.18,223.24 76.47,223.21 76.76,223.19 77.05,223.16 77.34,223.14 77.63,223.11 77.92,223.09 78.21,223.06 78.50,223.03 78.79,223.01 79.08,222.98 79.37,222.95 79.66,222.92 79.95,222.90 80.24,222.87 80.53,222.84 80.82,222.81 81.11,222.78 81.40,222.75 81.69,222.72 81.97,222.69 82.26,222.66 82.55,222.62 82.84,222.59 83.13,222.56 83.42,222.53 83.71,222.49 84.00,222.46 84.29,222.43 84.58,222.39 84.87,222.36 85.16,222.32 85.45,222.29 85.74,222.25 86.03,222.21 86.32,222.18 86.61,222.14 86.90,222.10 87.19,222.06 87.48,222.02 87.77,221.98 88.06,221.94 88.35,221.90 88.64,221.86 88.93,221.82 89.22,221.78 89.51,221.74 89.79,221.70 90.08,221.65 90.37,221.61 90.66,221.57 90.95,221.52 91.24,221.48 91.53,221.43 91.82,221.39 92.11,221.34 92.40,221.29 92.69,221.25 92.98,221.20 93.27,221.15 93.56,221.10 93.85,221.05 94.14,221.00 94.43,220.95 94.72,220.90 95.01,220.85 95.30,220.80 95.59,220.75 95.88,220.69 96.17,220.64 96.46,220.59 96.75,220.53 97.04,220.48 97.33,220.42 97.62,220.37 97.90,220.31 98.19,220.25 98.48,220.19 98.77,220.13 99.06,220.08 99.35,220.02 99.64,219.96 99.93,219.90 100.22,219.83 100.51,219.77 100.80,219.71 101.09,219.65 101.38,219.58 101.67,219.52 101.96,219.45 102.25,219.39 102.54,219.32 102.83,219.26 103.12,219.19 103.41,219.12 103.70,219.05 103.99,218.98 104.28,218.91 104.57,218.84 104.86,218.77 105.15,218.70 105.44,218.63 105.72,218.55 106.01,218.48 106.30,218.41 106.59,218.33 106.88,218.26 107.17,218.18 107.46,218.10 107.75,218.03 108.04,217.95 108.33,217.87 108.62,217.79 108.91,217.71 109.20,217.63 109.49,217.55 109.78,217.47 110.07,217.38 110.36,217.30 110.65,217.22 110.94,217.13 111.23,217.05 111.52,216.96 111.81,216.88 112.10,216.79 112.39,216.70 112.68,216.61 112.97,216.52 113.26,216.43 113.54,216.34 113.83,216.25 114.12,216.16 114.41,216.07 114.70,215.97 114.99,215.88 115.28,215.78 115.57,215.69 115.86,215.59 116.15,215.50 116.44,215.40 116.73,215.30 117.02,215.20 117.31,215.10 117.60,215.00 117.89,214.90 118.18,214.80 118.47,214.70 118.76,214.60 119.05,214.49 119.34,214.39 119.63,214.29 119.92,214.18 120.21,214.07 120.50,213.97 120.79,213.86 121.08,213.75 121.36,213.64 121.65,213.54 121.94,213.43 122.23,213.31 122.52,213.20 122.81,213.09 123.10,212.98 123.39,212.87 123.68,212.75 123.97,212.64 124.26,212.52 124.55,212.41 124.84,212.29 125.13,212.17 125.42,212.06 125.71,211.94 126.00,211.82 126.29,211.70 126.58,211.58 126.87,211.46 127.16,211.34 127.45,211.21 127.74,211.09 128.03,210.97 128.32,210.84 128.61,210.72 128.90,210.59 129.18,210.47 129.47,210.34 129.76,210.21 130.05,210.08 130.34,209.96 130.63,209.83 130.92,209.69 131.21,209.56 131.50,209.43 131.79,209.29 132.08,209.16 132.37,209.02 132.66,208.88 132.95,208.73 133.24,208.59 133.53,208.43 133.82,208.28 134.11,208.12 134.40,207.95 134.69,207.78 134.98,207.60 135.27,207.41 135.56,207.21 135.85,206.99 136.14,206.76 136.43,206.51 136.72,206.24 137.00,205.95 137.29,205.63 137.58,205.28 137.87,204.89 138.16,204.47 138.45,204.00 138.74,203.48 139.03,202.90 139.32,202.27 139.61,201.56 139.90,200.78 140.19,199.93 140.48,198.98 140.77,197.94 141.06,196.80 141.35,195.55 141.64,194.19 141.93,192.71 142.22,191.10 142.51,189.37 142.80,187.51 143.09,185.51 143.38,183.37 143.67,181.11 143.96,178.71 144.25,176.18 144.54,173.53 144.82,170.77 145.11,167.90 145.40,164.93 145.69,161.89 145.98,158.78 146.27,155.62 146.56,152.43 146.85,149.24 147.14,146.06 147.43,142.92 147.72,139.84 148.01,136.85 148.30,133.97 148.59,131.22 148.88,128.64 149.17,126.24 149.46,124.05 149.75,122.08 150.04,120.36 150.33,118.90 150.62,117.72 150.91,116.82 151.20,116.22 151.49,115.91 151.78,115.91 152.07,116.21 152.36,116.80 152.65,117.68 152.93,118.84 153.22,120.25 153.51,121.92 153.80,123.80 154.09,125.90 154.38,128.18 154.67,130.62 154.96,133.19 155.25,135.88 155.54,138.66 155.83,141.49 156.12,144.36 156.41,147.25 156.70,150.12 156.99,152.97 157.28,155.77 157.57,158.50 157.86,161.14 158.15,163.69 158.44,166.13 158.73,168.45 159.02,170.63 159.31,172.68 159.60,174.59 159.89,176.36 160.18,177.97 160.47,179.44 160.75,180.75 161.04,181.92 161.33,182.93 161.62,183.80 161.91,184.52 162.20,185.10 162.49,185.53 162.78,185.83 163.07,185.98 163.36,185.99 163.65,185.87 163.94,185.60 164.23,185.20 164.52,184.66 164.81,183.98 165.10,183.15 165.39,182.18 165.68,181.07 165.97,179.81 166.26,178.40 166.55,176.84 166.84,175.13 167.13,173.27 167.42,171.26 167.71,169.10 168.00,166.81 168.29,164.37 168.57,161.80 168.86,159.12 169.15,156.31 169.44,153.41 169.73,150.42 170.02,147.36 170.31,144.25 170.60,141.10 170.89,137.94 171.18,134.79 171.47,131.67 171.76,128.60 172.05,125.62 172.34,122.74 172.63,119.99 172.92,117.40 173.21,114.98 173.50,112.77 173.79,110.78 174.08,109.03 174.37,107.54 174.66,106.33 174.95,105.40 175.24,104.76 175.53,104.42 175.82,104.39 176.11,104.65 176.39,105.22 176.68,106.07 176.97,107.20 177.26,108.60 177.55,110.25 177.84,112.13 178.13,114.23 178.42,116.52 178.71,118.97 179.00,121.57 179.29,124.28 179.58,127.09 179.87,129.97 180.16,132.89 180.45,135.83 180.74,138.77 181.03,141.69 181.32,144.56 181.61,147.37 181.90,150.10 182.19,152.73 182.48,155.26 182.77,157.68 183.06,159.97 183.35,162.12 183.64,164.13 183.93,166.00 184.21,167.72 184.50,169.30 184.79,170.72 185.08,172.00 185.37,173.12 185.66,174.10 185.95,174.93 186.24,175.62 186.53,176.17 186.82,176.58 187.11,176.85 187.40,176.97 187.69,176.97 187.98,176.82 188.27,176.53 188.56,176.11 188.85,175.55 189.14,174.84 189.43,174.00 189.72,173.00 190.01,171.87 190.30,170.58 190.59,169.15 190.88,167.57 191.17,165.84 191.46,163.96 191.75,161.93 192.03,159.76 192.32,157.45 192.61,155.01 192.90,152.45 193.19,149.77 193.48,146.99 193.77,144.12 194.06,141.18 194.35,138.17 194.64,135.13 194.93,132.07 195.22,129.02 195.51,125.99 195.80,123.01 196.09,120.10 196.38,117.30 196.67,114.62 196.96,112.09 197.25,109.74 197.54,107.58 197.83,105.64 198.12,103.93 198.41,102.49 198.70,101.31 198.99,100.42 199.28,99.82 199.57,99.51 199.85,99.51 200.14,99.82 200.43,100.42 200.72,101.31 201.01,102.49 201.30,103.93 201.59,105.64 201.88,107.58 202.17,109.74 202.46,112.09 202.75,114.62 203.04,117.30 203.33,120.10 203.62,123.01 203.91,125.99 204.20,129.02 204.49,132.07 204.78,135.13 205.07,138.17 205.36,141.18 205.65,144.12 205.94,146.99 206.23,149.77 206.52,152.45 206.81,155.01 207.10,157.45 207.39,159.76 207.68,161.93 207.96,163.96 208.25,165.84 208.54,167.57 208.83,169.15 209.12,170.58 209.41,171.87 209.70,173.00 209.99,174.00 210.28,174.84 210.57,175.55 210.86,176.11 211.15,176.53 211.44,176.82 211.73,176.97 212.02,176.97 212.31,176.85 212.60,176.58 212.89,176.17 213.18,175.62 213.47,174.93 213.76,174.10 214.05,173.12 214.34,172.00 214.63,170.72 214.92,169.30 215.21,167.72 215.50,166.00 215.78,164.13 216.07,162.12 216.36,159.97 216.65,157.68 216.94,155.26 217.23,152.73 217.52,150.10 217.81,147.37 218.10,144.56 218.39,141.69 218.68,138.77 218.97,135.83 219.26,132.89 219.55,129.97 219.84,127.09 220.13,124.28 220.42,121.57 220.71,118.97 221.00,116.52 221.29,114.23 221.58,112.13 221.87,110.25 222.16,108.60 222.45,107.20 222.74,106.07 223.03,105.22 223.32,104.65 223.60,104.39 223.89,104.42 224.18,104.76 224.47,105.40 224.76,106.33 225.05,107.54 225.34,109.03 225.63,110.78 225.92,112.77 226.21,114.98 226.50,117.40 226.79,119.99 227.08,122.74 227.37,125.62 227.66,128.60 227.95,131.67 228.24,134.79 228.53,137.94 228.82,141.10 229.11,144.25 229.40,147.36 229.69,150.42 229.98,153.41 230.27,156.31 230.56,159.12 230.85,161.80 231.14,164.37 231.42,166.81 231.71,169.10 232.00,171.26 232.29,173.27 232.58,175.13 232.87,176.84 233.16,178.40 233.45,179.81 233.74,181.07 234.03,182.18 234.32,183.15 234.61,183.98 234.90,184.66 235.19,185.20 235.48,185.60 235.77,185.87 236.06,185.99 236.35,185.98 236.64,185.83 236.93,185.53 237.22,185.10 237.51,184.52 237.80,183.80 238.09,182.93 238.38,181.92 238.67,180.75 238.96,179.44 239.24,177.97 239.53,176.36 239.82,174.59 240.11,172.68 240.40,170.63 240.69,168.45 240.98,166.13 241.27,163.69 241.56,161.14 241.85,158.50 242.14,155.77 242.43,152.97 242.72,150.12 243.01,147.25 243.30,144.36 243.59,141.49 243.88,138.66 244.17,135.88 244.46,133.19 244.75,130.62 245.04,128.18 245.33,125.90 245.62,123.80 245.91,121.92 246.20,120.25 246.49,118.84 246.78,117.68 247.06,116.80 247.35,116.21 247.64,115.91 247.93,115.91 248.22,116.22 248.51,116.82 248.80,117.72 249.09,118.90 249.38,120.36 249.67,122.08 249.96,124.05 250.25,126.24 250.54,128.64 250.83,131.22 251.12,133.97 251.41,136.85 251.70,139.84 251.99,142.92 252.28,146.06 252.57,149.24 252.86,152.43 253.15,155.62 253.44,158.78 253.73,161.89 254.02,164.93 254.31,167.90 254.60,170.77 254.89,173.53 255.17,176.18 255.46,178.71 255.75,181.11 256.04,183.37 256.33,185.51 256.62,187.51 256.91,189.37 257.20,191.10 257.49,192.71 257.78,194.19 258.07,195.55 258.36,196.80 258.65,197.94 258.94,198.98 259.23,199.93 259.52,200.78 259.81,201.56 260.10,202.27 260.39,202.90 260.68,203.48 260.97,204.00 261.26,204.47 261.55,204.89 261.84,205.28 262.13,205.63 262.42,205.95 262.71,206.24 262.99,206.51 263.28,206.76 263.57,206.99 263.86,207.21 264.15,207.41 264.44,207.60 264.73,207.78 265.02,207.95 265.31,208.12 265.60,208.28 265.89,208.43 266.18,208.59 266.47,208.73 266.76,208.88 267.05,209.02 267.34,209.16 267.63,209.29 267.92,209.43 268.21,209.56 268.50,209.69 268.79,209.83 269.08,209.96 269.37,210.08 269.66,210.21 269.95,210.34 270.24,210.47 270.53,210.59 270.81,210.72 271.10,210.84 271.39,210.97 271.68,211.09 271.97,211.21 272.26,211.34 272.55,211.46 272.84,211.58 273.13,211.70 273.42,211.82 273.71,211.94 274.00,212.06 274.29,212.17 274.58,212.29 274.87,212.41 275.16,212.52 275.45,212.64 275.74,212.75 276.03,212.87 276.32,212.98 276.61,213.09 276.90,213.20 277.19,213.31 277.48,213.43 277.77,213.54 278.06,213.64 278.35,213.75 278.63,213.86 278.92,213.97 279.21,214.07 279.50,214.18 279.79,214.29 280.08,214.39 280.37,214.49 280.66,214.60 280.95,214.70 281.24,214.80 281.53,214.90 281.82,215.00 282.11,215.10 282.40,215.20 282.69,215.30 282.98,215.40 283.27,215.50 283.56,215.59 283.85,215.69 284.14,215.78 284.43,215.88 284.72,215.97 285.01,216.07 285.30,216.16 285.59,216.25 285.88,216.34 286.17,216.43 286.45,216.52 286.74,216.61 287.03,216.70 287.32,216.79 287.61,216.88 287.90,216.96 288.19,217.05 288.48,217.13 288.77,217.22 289.06,217.30 289.35,217.38 289.64,217.47 289.93,217.55 290.22,217.63 290.51,217.71 290.80,217.79 291.09,217.87 291.38,217.95 291.67,218.03 291.96,218.10 292.25,218.18 292.54,218.26 292.83,218.33 293.12,218.41 293.41,218.48 293.70,218.55 293.99,218.63 294.27,218.70 294.56,218.77 294.85,218.84 295.14,218.91 295.43,218.98 295.72,219.05 296.01,219.12 296.30,219.19 296.59,219.26 296.88,219.32 297.17,219.39 297.46,219.45 297.75,219.52 298.04,219.58 298.33,219.65 298.62,219.71 298.91,219.77 299.20,219.83 299.49,219.90 299.78,219.96 300.07,220.02 300.36,220.08 300.65,220.13 300.94,220.19 301.23,220.25 301.52,220.31 301.81,220.37 302.09,220.42 302.38,220.48 302.67,220.53 302.96,220.59 303.25,220.64 303.54,220.69 303.83,220.75 304.12,220.80 304.41,220.85 304.70,220.90 304.99,220.95 305.28,221.00 305.57,221.05 305.86,221.10 306.15,221.15 306.44,221.20 306.73,221.25 307.02,221.29 307.31,221.34 307.60,221.39 307.89,221.43 308.18,221.48 308.47,221.52 308.76,221.57 309.05,221.61 309.34,221.65 309.63,221.70 309.92,221.74 310.20,221.78 310.49,221.82 310.78,221.86 311.07,221.90 311.36,221.94 311.65,221.98 311.94,222.02 312.23,222.06 312.52,222.10 312.81,222.14 313.10,222.18 313.39,222.21 313.68,222.25 313.97,222.29 314.26,222.32 314.55,222.36 314.84,222.39 315.13,222.43 315.42,222.46 315.71,222.49 316.00,222.53 316.29,222.56 316.58,222.59 316.87,222.62 317.16,222.66 317.45,222.69 317.74,222.72 318.02,222.75 318.31,222.78 318.60,222.81 318.89,222.84 319.18,222.87 319.47,222.90 319.76,222.92 320.05,222.95 320.34,222.98 320.63,223.01 320.92,223.03 321.21,223.06 321.50,223.09 321.79,223.11 322.08,223.14 322.37,223.16 322.66,223.19 322.95,223.21 323.24,223.24 323.53,223.26 323.82,223.28 324.11,223.31 324.40,223.33 324.69,223.35 324.98,223.38 325.27,223.40 325.56,223.42 325.84,223.44 326.13,223.46 326.42,223.48 326.71,223.51 327.00,223.53 327.29,223.55 327.58,223.57 327.87,223.59 328.16,223.60 328.45,223.62 328.74,223.64 329.03,223.66 329.32,223.68 329.61,223.70 329.90,223.72 330.19,223.73 330.48,223.75 330.77,223.77 331.06,223.78 331.35,223.80 331.64,223.82 331.93,223.83 332.22,223.85 332.51,223.87 332.80,223.88 333.09,223.90 333.38,223.91 333.66,223.93 333.95,223.94 334.24,223.95 334.53,223.97 334.82,223.98 335.11,224.00 335.40,224.01 335.69,224.02 335.98,224.04 336.27,224.05 336.56,224.06 336.85,224.08 337.14,224.09 337.43,224.10 337.72,224.11 338.01,224.12 338.30,224.14 338.59,224.15 338.88,224.16 339.17,224.17 339.46,224.18 339.75,224.19 340.04,224.20 340.33,224.21 340.62,224.22 340.91,224.23 341.20,224.24 341.48,224.25 341.77,224.26 342.06,224.27 342.35,224.28 342.64,224.29 342.93,224.30 343.22,224.31 343.51,224.32 343.80,224.33 344.09,224.34 344.38,224.34 ' style='stroke-width: 1.07; stroke: #00BFC4; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzU4Ljg1fDIzNS4yNXw1LjQ4)' />
<polyline points='55.04,222.49 55.33,222.45 55.62,222.40 55.91,222.36 56.20,222.31 56.49,222.27 56.78,222.22 57.07,222.18 57.36,222.13 57.65,222.08 57.94,222.03 58.23,221.98 58.51,221.93 58.80,221.88 59.09,221.83 59.38,221.78 59.67,221.73 59.96,221.67 60.25,221.62 60.54,221.56 60.83,221.50 61.12,221.45 61.41,221.39 61.70,221.33 61.99,221.27 62.28,221.21 62.57,221.15 62.86,221.08 63.15,221.02 63.44,220.95 63.73,220.89 64.02,220.82 64.31,220.75 64.60,220.68 64.89,220.61 65.18,220.54 65.47,220.47 65.76,220.40 66.05,220.32 66.33,220.25 66.62,220.17 66.91,220.10 67.20,220.02 67.49,219.94 67.78,219.86 68.07,219.77 68.36,219.69 68.65,219.61 68.94,219.52 69.23,219.43 69.52,219.35 69.81,219.26 70.10,219.17 70.39,219.08 70.68,218.98 70.97,218.89 71.26,218.79 71.55,218.70 71.84,218.60 72.13,218.50 72.42,218.40 72.71,218.30 73.00,218.19 73.29,218.09 73.58,217.98 73.87,217.87 74.15,217.76 74.44,217.65 74.73,217.54 75.02,217.43 75.31,217.31 75.60,217.19 75.89,217.07 76.18,216.95 76.47,216.83 76.76,216.71 77.05,216.58 77.34,216.46 77.63,216.33 77.92,216.20 78.21,216.07 78.50,215.94 78.79,215.80 79.08,215.66 79.37,215.53 79.66,215.39 79.95,215.24 80.24,215.10 80.53,214.96 80.82,214.81 81.11,214.66 81.40,214.51 81.69,214.36 81.97,214.20 82.26,214.04 82.55,213.89 82.84,213.73 83.13,213.56 83.42,213.40 83.71,213.23 84.00,213.07 84.29,212.90 84.58,212.72 84.87,212.55 85.16,212.37 85.45,212.19 85.74,212.01 86.03,211.83 86.32,211.65 86.61,211.46 86.90,211.27 87.19,211.08 87.48,210.88 87.77,210.69 88.06,210.49 88.35,210.29 88.64,210.09 88.93,209.88 89.22,209.68 89.51,209.47 89.79,209.26 90.08,209.04 90.37,208.82 90.66,208.61 90.95,208.38 91.24,208.16 91.53,207.93 91.82,207.71 92.11,207.48 92.40,207.24 92.69,207.01 92.98,206.77 93.27,206.53 93.56,206.28 93.85,206.04 94.14,205.79 94.43,205.54 94.72,205.28 95.01,205.03 95.30,204.77 95.59,204.50 95.88,204.24 96.17,203.97 96.46,203.70 96.75,203.43 97.04,203.15 97.33,202.88 97.62,202.59 97.90,202.31 98.19,202.02 98.48,201.73 98.77,201.44 99.06,201.15 99.35,200.85 99.64,200.55 99.93,200.24 100.22,199.94 100.51,199.63 100.80,199.32 101.09,199.00 101.38,198.68 101.67,198.36 101.96,198.04 102.25,197.71 102.54,197.38 102.83,197.04 103.12,196.71 103.41,196.37 103.70,196.03 103.99,195.68 104.28,195.33 104.57,194.98 104.86,194.62 105.15,194.27 105.44,193.90 105.72,193.54 106.01,193.17 106.30,192.80 106.59,192.43 106.88,192.05 107.17,191.67 107.46,191.29 107.75,190.90 108.04,190.51 108.33,190.12 108.62,189.72 108.91,189.32 109.20,188.92 109.49,188.51 109.78,188.10 110.07,187.69 110.36,187.27 110.65,186.85 110.94,186.43 111.23,186.01 111.52,185.58 111.81,185.14 112.10,184.71 112.39,184.27 112.68,183.83 112.97,183.38 113.26,182.93 113.54,182.48 113.83,182.02 114.12,181.56 114.41,181.10 114.70,180.63 114.99,180.17 115.28,179.69 115.57,179.22 115.86,178.74 116.15,178.25 116.44,177.77 116.73,177.28 117.02,176.79 117.31,176.29 117.60,175.79 117.89,175.29 118.18,174.78 118.47,174.27 118.76,173.76 119.05,173.24 119.34,172.72 119.63,172.20 119.92,171.67 120.21,171.14 120.50,170.61 120.79,170.07 121.08,169.53 121.36,168.99 121.65,168.44 121.94,167.89 122.23,167.34 122.52,166.79 122.81,166.23 123.10,165.66 123.39,165.10 123.68,164.53 123.97,163.96 124.26,163.38 124.55,162.80 124.84,162.22 125.13,161.63 125.42,161.05 125.71,160.45 126.00,159.86 126.29,159.26 126.58,158.66 126.87,158.06 127.16,157.45 127.45,156.84 127.74,156.23 128.03,155.61 128.32,154.99 128.61,154.37 128.90,153.74 129.18,153.12 129.47,152.48 129.76,151.85 130.05,151.21 130.34,150.57 130.63,149.93 130.92,149.28 131.21,148.64 131.50,147.99 131.79,147.33 132.08,146.67 132.37,146.01 132.66,145.35 132.95,144.69 133.24,144.02 133.53,143.35 133.82,142.68 134.11,142.00 134.40,141.32 134.69,140.64 134.98,139.96 135.27,139.28 135.56,138.59 135.85,137.90 136.14,137.21 136.43,136.51 136.72,135.81 137.00,135.11 137.29,134.41 137.58,133.71 137.87,133.00 138.16,132.30 138.45,131.59 138.74,130.87 139.03,130.16 139.32,129.44 139.61,128.72 139.90,128.00 140.19,127.28 140.48,126.56 140.77,125.83 141.06,125.11 141.35,124.38 141.64,123.65 141.93,122.91 142.22,122.18 142.51,121.44 142.80,120.71 143.09,119.97 143.38,119.23 143.67,118.49 143.96,117.74 144.25,117.00 144.54,116.25 144.82,115.51 145.11,114.76 145.40,114.01 145.69,113.26 145.98,112.51 146.27,111.76 146.56,111.00 146.85,110.25 147.14,109.50 147.43,108.74 147.72,107.99 148.01,107.23 148.30,106.47 148.59,105.71 148.88,104.95 149.17,104.20 149.46,103.44 149.75,102.68 150.04,101.92 150.33,101.16 150.62,100.40 150.91,99.63 151.20,98.87 151.49,98.11 151.78,97.35 152.07,96.59 152.36,95.83 152.65,95.07 152.93,94.31 153.22,93.55 153.51,92.79 153.80,92.03 154.09,91.27 154.38,90.51 154.67,89.75 154.96,89.00 155.25,88.24 155.54,87.49 155.83,86.73 156.12,85.98 156.41,85.22 156.70,84.47 156.99,83.72 157.28,82.97 157.57,82.22 157.86,81.47 158.15,80.73 158.44,79.98 158.73,79.24 159.02,78.49 159.31,77.75 159.60,77.01 159.89,76.28 160.18,75.54 160.47,74.81 160.75,74.08 161.04,73.34 161.33,72.62 161.62,71.89 161.91,71.17 162.20,70.44 162.49,69.72 162.78,69.01 163.07,68.29 163.36,67.58 163.65,66.87 163.94,66.16 164.23,65.45 164.52,64.75 164.81,64.05 165.10,63.35 165.39,62.66 165.68,61.97 165.97,61.28 166.26,60.59 166.55,59.91 166.84,59.23 167.13,58.55 167.42,57.88 167.71,57.21 168.00,56.54 168.29,55.88 168.57,55.22 168.86,54.57 169.15,53.91 169.44,53.27 169.73,52.62 170.02,51.98 170.31,51.34 170.60,50.71 170.89,50.08 171.18,49.46 171.47,48.84 171.76,48.22 172.05,47.61 172.34,47.00 172.63,46.39 172.92,45.79 173.21,45.20 173.50,44.61 173.79,44.02 174.08,43.44 174.37,42.86 174.66,42.29 174.95,41.73 175.24,41.16 175.53,40.61 175.82,40.05 176.11,39.51 176.39,38.96 176.68,38.43 176.97,37.90 177.26,37.37 177.55,36.85 177.84,36.33 178.13,35.82 178.42,35.32 178.71,34.82 179.00,34.32 179.29,33.83 179.58,33.35 179.87,32.87 180.16,32.40 180.45,31.94 180.74,31.48 181.03,31.02 181.32,30.57 181.61,30.13 181.90,29.70 182.19,29.27 182.48,28.84 182.77,28.43 183.06,28.01 183.35,27.61 183.64,27.21 183.93,26.82 184.21,26.43 184.50,26.05 184.79,25.68 185.08,25.31 185.37,24.95 185.66,24.60 185.95,24.25 186.24,23.91 186.53,23.58 186.82,23.25 187.11,22.93 187.40,22.62 187.69,22.31 187.98,22.01 188.27,21.72 188.56,21.43 188.85,21.15 189.14,20.88 189.43,20.62 189.72,20.36 190.01,20.11 190.30,19.86 190.59,19.63 190.88,19.40 191.17,19.18 191.46,18.96 191.75,18.75 192.03,18.55 192.32,18.36 192.61,18.17 192.90,17.99 193.19,17.82 193.48,17.66 193.77,17.50 194.06,17.35 194.35,17.21 194.64,17.07 194.93,16.95 195.22,16.83 195.51,16.71 195.80,16.61 196.09,16.51 196.38,16.42 196.67,16.34 196.96,16.26 197.25,16.19 197.54,16.13 197.83,16.08 198.12,16.04 198.41,16.00 198.70,15.97 198.99,15.95 199.28,15.93 199.57,15.92 199.85,15.92 200.14,15.93 200.43,15.95 200.72,15.97 201.01,16.00 201.30,16.04 201.59,16.08 201.88,16.13 202.17,16.19 202.46,16.26 202.75,16.34 203.04,16.42 203.33,16.51 203.62,16.61 203.91,16.71 204.20,16.83 204.49,16.95 204.78,17.07 205.07,17.21 205.36,17.35 205.65,17.50 205.94,17.66 206.23,17.82 206.52,17.99 206.81,18.17 207.10,18.36 207.39,18.55 207.68,18.75 207.96,18.96 208.25,19.18 208.54,19.40 208.83,19.63 209.12,19.86 209.41,20.11 209.70,20.36 209.99,20.62 210.28,20.88 210.57,21.15 210.86,21.43 211.15,21.72 211.44,22.01 211.73,22.31 212.02,22.62 212.31,22.93 212.60,23.25 212.89,23.58 213.18,23.91 213.47,24.25 213.76,24.60 214.05,24.95 214.34,25.31 214.63,25.68 214.92,26.05 215.21,26.43 215.50,26.82 215.78,27.21 216.07,27.61 216.36,28.01 216.65,28.43 216.94,28.84 217.23,29.27 217.52,29.70 217.81,30.13 218.10,30.57 218.39,31.02 218.68,31.48 218.97,31.94 219.26,32.40 219.55,32.87 219.84,33.35 220.13,33.83 220.42,34.32 220.71,34.82 221.00,35.32 221.29,35.82 221.58,36.33 221.87,36.85 222.16,37.37 222.45,37.90 222.74,38.43 223.03,38.96 223.32,39.51 223.60,40.05 223.89,40.61 224.18,41.16 224.47,41.73 224.76,42.29 225.05,42.86 225.34,43.44 225.63,44.02 225.92,44.61 226.21,45.20 226.50,45.79 226.79,46.39 227.08,47.00 227.37,47.61 227.66,48.22 227.95,48.84 228.24,49.46 228.53,50.08 228.82,50.71 229.11,51.34 229.40,51.98 229.69,52.62 229.98,53.27 230.27,53.91 230.56,54.57 230.85,55.22 231.14,55.88 231.42,56.54 231.71,57.21 232.00,57.88 232.29,58.55 232.58,59.23 232.87,59.91 233.16,60.59 233.45,61.28 233.74,61.97 234.03,62.66 234.32,63.35 234.61,64.05 234.90,64.75 235.19,65.45 235.48,66.16 235.77,66.87 236.06,67.58 236.35,68.29 236.64,69.01 236.93,69.72 237.22,70.44 237.51,71.17 237.80,71.89 238.09,72.62 238.38,73.34 238.67,74.08 238.96,74.81 239.24,75.54 239.53,76.28 239.82,77.01 240.11,77.75 240.40,78.49 240.69,79.24 240.98,79.98 241.27,80.73 241.56,81.47 241.85,82.22 242.14,82.97 242.43,83.72 242.72,84.47 243.01,85.22 243.30,85.98 243.59,86.73 243.88,87.49 244.17,88.24 244.46,89.00 244.75,89.75 245.04,90.51 245.33,91.27 245.62,92.03 245.91,92.79 246.20,93.55 246.49,94.31 246.78,95.07 247.06,95.83 247.35,96.59 247.64,97.35 247.93,98.11 248.22,98.87 248.51,99.63 248.80,100.40 249.09,101.16 249.38,101.92 249.67,102.68 249.96,103.44 250.25,104.20 250.54,104.95 250.83,105.71 251.12,106.47 251.41,107.23 251.70,107.99 251.99,108.74 252.28,109.50 252.57,110.25 252.86,111.00 253.15,111.76 253.44,112.51 253.73,113.26 254.02,114.01 254.31,114.76 254.60,115.51 254.89,116.25 255.17,117.00 255.46,117.74 255.75,118.49 256.04,119.23 256.33,119.97 256.62,120.71 256.91,121.44 257.20,122.18 257.49,122.91 257.78,123.65 258.07,124.38 258.36,125.11 258.65,125.83 258.94,126.56 259.23,127.28 259.52,128.00 259.81,128.72 260.10,129.44 260.39,130.16 260.68,130.87 260.97,131.59 261.26,132.30 261.55,133.00 261.84,133.71 262.13,134.41 262.42,135.11 262.71,135.81 262.99,136.51 263.28,137.21 263.57,137.90 263.86,138.59 264.15,139.28 264.44,139.96 264.73,140.64 265.02,141.32 265.31,142.00 265.60,142.68 265.89,143.35 266.18,144.02 266.47,144.69 266.76,145.35 267.05,146.01 267.34,146.67 267.63,147.33 267.92,147.99 268.21,148.64 268.50,149.28 268.79,149.93 269.08,150.57 269.37,151.21 269.66,151.85 269.95,152.48 270.24,153.12 270.53,153.74 270.81,154.37 271.10,154.99 271.39,155.61 271.68,156.23 271.97,156.84 272.26,157.45 272.55,158.06 272.84,158.66 273.13,159.26 273.42,159.86 273.71,160.45 274.00,161.05 274.29,161.63 274.58,162.22 274.87,162.80 275.16,163.38 275.45,163.96 275.74,164.53 276.03,165.10 276.32,165.66 276.61,166.23 276.90,166.79 277.19,167.34 277.48,167.89 277.77,168.44 278.06,168.99 278.35,169.53 278.63,170.07 278.92,170.61 279.21,171.14 279.50,171.67 279.79,172.20 280.08,172.72 280.37,173.24 280.66,173.76 280.95,174.27 281.24,174.78 281.53,175.29 281.82,175.79 282.11,176.29 282.40,176.79 282.69,177.28 282.98,177.77 283.27,178.25 283.56,178.74 283.85,179.22 284.14,179.69 284.43,180.17 284.72,180.63 285.01,181.10 285.30,181.56 285.59,182.02 285.88,182.48 286.17,182.93 286.45,183.38 286.74,183.83 287.03,184.27 287.32,184.71 287.61,185.14 287.90,185.58 288.19,186.01 288.48,186.43 288.77,186.85 289.06,187.27 289.35,187.69 289.64,188.10 289.93,188.51 290.22,188.92 290.51,189.32 290.80,189.72 291.09,190.12 291.38,190.51 291.67,190.90 291.96,191.29 292.25,191.67 292.54,192.05 292.83,192.43 293.12,192.80 293.41,193.17 293.70,193.54 293.99,193.90 294.27,194.27 294.56,194.62 294.85,194.98 295.14,195.33 295.43,195.68 295.72,196.03 296.01,196.37 296.30,196.71 296.59,197.04 296.88,197.38 297.17,197.71 297.46,198.04 297.75,198.36 298.04,198.68 298.33,199.00 298.62,199.32 298.91,199.63 299.20,199.94 299.49,200.24 299.78,200.55 300.07,200.85 300.36,201.15 300.65,201.44 300.94,201.73 301.23,202.02 301.52,202.31 301.81,202.59 302.09,202.88 302.38,203.15 302.67,203.43 302.96,203.70 303.25,203.97 303.54,204.24 303.83,204.50 304.12,204.77 304.41,205.03 304.70,205.28 304.99,205.54 305.28,205.79 305.57,206.04 305.86,206.28 306.15,206.53 306.44,206.77 306.73,207.01 307.02,207.24 307.31,207.48 307.60,207.71 307.89,207.93 308.18,208.16 308.47,208.38 308.76,208.61 309.05,208.82 309.34,209.04 309.63,209.26 309.92,209.47 310.20,209.68 310.49,209.88 310.78,210.09 311.07,210.29 311.36,210.49 311.65,210.69 311.94,210.88 312.23,211.08 312.52,211.27 312.81,211.46 313.10,211.65 313.39,211.83 313.68,212.01 313.97,212.19 314.26,212.37 314.55,212.55 314.84,212.72 315.13,212.90 315.42,213.07 315.71,213.23 316.00,213.40 316.29,213.56 316.58,213.73 316.87,213.89 317.16,214.04 317.45,214.20 317.74,214.36 318.02,214.51 318.31,214.66 318.60,214.81 318.89,214.96 319.18,215.10 319.47,215.24 319.76,215.39 320.05,215.53 320.34,215.66 320.63,215.80 320.92,215.94 321.21,216.07 321.50,216.20 321.79,216.33 322.08,216.46 322.37,216.58 322.66,216.71 322.95,216.83 323.24,216.95 323.53,217.07 323.82,217.19 324.11,217.31 324.40,217.43 324.69,217.54 324.98,217.65 325.27,217.76 325.56,217.87 325.84,217.98 326.13,218.09 326.42,218.19 326.71,218.30 327.00,218.40 327.29,218.50 327.58,218.60 327.87,218.70 328.16,218.79 328.45,218.89 328.74,218.98 329.03,219.08 329.32,219.17 329.61,219.26 329.90,219.35 330.19,219.43 330.48,219.52 330.77,219.61 331.06,219.69 331.35,219.77 331.64,219.86 331.93,219.94 332.22,220.02 332.51,220.10 332.80,220.17 333.09,220.25 333.38,220.32 333.66,220.40 333.95,220.47 334.24,220.54 334.53,220.61 334.82,220.68 335.11,220.75 335.40,220.82 335.69,220.89 335.98,220.95 336.27,221.02 336.56,221.08 336.85,221.15 337.14,221.21 337.43,221.27 337.72,221.33 338.01,221.39 338.30,221.45 338.59,221.50 338.88,221.56 339.17,221.62 339.46,221.67 339.75,221.73 340.04,221.78 340.33,221.83 340.62,221.88 340.91,221.93 341.20,221.98 341.48,222.03 341.77,222.08 342.06,222.13 342.35,222.18 342.64,222.22 342.93,222.27 343.22,222.31 343.51,222.36 343.80,222.40 344.09,222.45 344.38,222.49 ' style='stroke-width: 1.07; stroke: #C77CFF; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzU4Ljg1fDIzNS4yNXw1LjQ4)' />
<defs>
  <clipPath id='cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA='>
    <rect x='0.00' y='0.00' width='432.00' height='266.98' />
  </clipPath>
</defs>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='18.51' y='227.96' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='17.13px' lengthAdjust='spacingAndGlyphs'>0.00</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='18.51' y='175.60' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='17.13px' lengthAdjust='spacingAndGlyphs'>0.25</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='18.51' y='123.24' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='17.13px' lengthAdjust='spacingAndGlyphs'>0.50</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='18.51' y='70.88' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='17.13px' lengthAdjust='spacingAndGlyphs'>0.75</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='18.51' y='18.52' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='17.13px' lengthAdjust='spacingAndGlyphs'>1.00</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='99.35' y='246.48' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='7.82px' lengthAdjust='spacingAndGlyphs'>-2</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='197.26' y='246.48' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='4.89px' lengthAdjust='spacingAndGlyphs'>0</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='293.71' y='246.48' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='4.89px' lengthAdjust='spacingAndGlyphs'>2</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='196.96' y='259.08' style='font-size: 11.00px; font-family: Arial;' textLength='5.50px' lengthAdjust='spacingAndGlyphs'>x</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text transform='translate(13.35,123.12) rotate(-90)' style='font-size: 11.00px; font-family: Arial;' textLength='5.50px' lengthAdjust='spacingAndGlyphs'>y</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='375.29' y='104.28' style='font-size: 11.00px; font-family: Arial;' textLength='29.96px' lengthAdjust='spacingAndGlyphs'>colour</text></g>
<line x1='377.01' y1='119.62' x2='390.84' y2='119.62' style='stroke-width: 2.13; stroke: #00BFC4; stroke-linecap: butt;' clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)' />
<line x1='377.01' y1='119.62' x2='390.84' y2='119.62' style='stroke-width: 1.07; stroke: #00BFC4; stroke-linecap: butt;' clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)' />
<line x1='377.01' y1='136.90' x2='390.84' y2='136.90' style='stroke-width: 2.13; stroke: #C77CFF; stroke-linecap: butt;' clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)' />
<line x1='377.01' y1='136.90' x2='390.84' y2='136.90' style='stroke-width: 1.07; stroke: #C77CFF; stroke-linecap: butt;' clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)' />
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='398.05' y='122.77' style='font-size: 8.80px; font-family: Arial;' textLength='12.71px' lengthAdjust='spacingAndGlyphs'>f(x)</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='398.05' y='140.05' style='font-size: 8.80px; font-family: Arial;' textLength='22.49px' lengthAdjust='spacingAndGlyphs'>Mg(x)</text></g>
</svg>
" width="70%" /> --- ## Problems with the Acceptance-rejection method * The envelop distribution `\(g(x)\)` needs to closely resemble `\(f(x)\)` for this method to work well * If `\(g(x)\)` does not match `\(f(x)\)` well, - the method will draw a lot of unwanted samples hence is not very efficient - becomes very problematic when the data is high-dimensional. - Even at dimensions of `\(\sim 10\)`, this method become very inefficient – i.e. you need to draw lots of samples before one sample is accepted --- class: segue-yellow background-image: url("https://raw.githubusercontent.com/garthtarr/sydney_xaringan/master/assets/USydLogo.svg") background-size: 20% background-position: 95% 95% # Monte Carlo simulation examples --- ## Collecting Coles or Woolworths kids toys * Collect one little shop when you spend $30 * How many $30 shops do I need to collect all 30 items? <img src="https://github.com/usydstat5003/stat5003-graphics/blob/master/Week10/coles.png?raw=true" width="25%"/> --- ## Theoretical aspect (before we see the Monte Carlo) Expected number of shops you need to do: `\begin{align*} \mathbb{E} T = n \left(\frac{1}{1} + \frac{1}{2} + \dots + \frac{1}{n}\right) \approx n \log n + 0.5772n + 0.5 \end{align*}` * where, `\(T\)` is the time to collect all items, `\(n\)` is the number of items to collect So, for a Coles little shop would expect, `\(\mathbb{E}(T) \approx 120\)` --- ## Monte Carlo simulation of Cole's little shop .columns-2[ .pull-left[ ```r n.shops.sim <- c() for(i in 1:1000) { collected <- c() n.shops <- 0 while(length(collected) < 30) { newitem <- sample(30,1) collected <- union(collected, newitem) n.shops <- n.shops + 1 } n.shops.sim <- c(n.shops.sim, n.shops) } mean.sim <- mean(n.shops.sim) ggplot(data.frame(x = n.shops.sim)) + theme_minimal() + geom_histogram(aes(x = x, y = ..density..), colour = "black", fill = "white") + labs(x = "Number of trips", y = "Density") + geom_vline(xintercept = mean.sim, linetype = "dotted", colour = "red") ``` ] .pull-right[ <img src="data:image/svg+xml;base64,<?xml version='1.0' encoding='UTF-8' ?>
<svg xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' viewBox='0 0 432.00 266.98'>
<defs>
  <style type='text/css'><![CDATA[
    line, polyline, polygon, path, rect, circle {
      fill: none;
      stroke: #000000;
      stroke-linecap: round;
      stroke-linejoin: round;
      stroke-miterlimit: 10.00;
    }
  ]]></style>
</defs>
<rect width='100%' height='100%' style='stroke: none; fill: #FFFFFF;'/>
<defs>
  <clipPath id='cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4'>
    <rect x='45.47' y='5.48' width='381.05' height='229.77' />
  </clipPath>
</defs>
<polyline points='45.47,188.50 426.52,188.50 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='45.47,115.89 426.52,115.89 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='45.47,43.28 426.52,43.28 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='66.25,235.25 66.25,5.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='200.20,235.25 200.20,5.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='334.14,235.25 334.14,5.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='45.47,224.81 426.52,224.81 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='45.47,152.20 426.52,152.20 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='45.47,79.59 426.52,79.59 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='45.47,6.98 426.52,6.98 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='133.22,235.25 133.22,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='267.17,235.25 267.17,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='401.12,235.25 401.12,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='62.79' y='219.75' width='11.55' height='5.05' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='74.33' y='211.33' width='11.55' height='13.48' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='85.88' y='160.79' width='11.55' height='64.01' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='97.43' y='122.05' width='11.55' height='102.76' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='108.98' y='105.20' width='11.55' height='119.60' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='120.52' y='15.92' width='11.55' height='208.88' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='132.07' y='27.72' width='11.55' height='197.09' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='143.62' y='26.03' width='11.55' height='198.78' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='155.16' y='41.19' width='11.55' height='183.62' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='166.71' y='101.84' width='11.55' height='122.97' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='178.26' y='120.37' width='11.55' height='104.44' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='189.80' y='130.47' width='11.55' height='94.33' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='201.35' y='164.16' width='11.55' height='60.64' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='212.90' y='191.12' width='11.55' height='33.69' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='224.45' y='189.43' width='11.55' height='35.38' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='235.99' y='191.12' width='11.55' height='33.69' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='247.54' y='187.75' width='11.55' height='37.06' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='259.09' y='216.39' width='11.55' height='8.42' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='270.63' y='211.33' width='11.55' height='13.48' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='282.18' y='211.33' width='11.55' height='13.48' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='293.73' y='214.70' width='11.55' height='10.11' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='305.28' y='223.12' width='11.55' height='1.68' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='316.82' y='221.44' width='11.55' height='3.37' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='328.37' y='219.75' width='11.55' height='5.05' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='339.92' y='219.75' width='11.55' height='5.05' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='351.46' y='223.12' width='11.55' height='1.68' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='363.01' y='219.75' width='11.55' height='5.05' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='374.56' y='224.81' width='11.55' height='0.00' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='386.11' y='224.81' width='11.55' height='0.00' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='397.65' y='223.12' width='11.55' height='1.68' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<line x1='160.27' y1='235.25' x2='160.27' y2='5.48' style='stroke-width: 1.07; stroke: #FF0000; stroke-dasharray: 1.42,4.27; stroke-linecap: butt;' clip-path='url(#cpNDUuNDd8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<defs>
  <clipPath id='cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA='>
    <rect x='0.00' y='0.00' width='432.00' height='266.98' />
  </clipPath>
</defs>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='18.51' y='227.96' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='22.02px' lengthAdjust='spacingAndGlyphs'>0.000</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='18.51' y='155.35' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='22.02px' lengthAdjust='spacingAndGlyphs'>0.005</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='18.51' y='82.74' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='22.02px' lengthAdjust='spacingAndGlyphs'>0.010</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='18.51' y='10.13' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='22.02px' lengthAdjust='spacingAndGlyphs'>0.015</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='125.88' y='246.48' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='14.68px' lengthAdjust='spacingAndGlyphs'>100</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='259.83' y='246.48' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='14.68px' lengthAdjust='spacingAndGlyphs'>200</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='393.78' y='246.48' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='14.68px' lengthAdjust='spacingAndGlyphs'>300</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='198.40' y='259.08' style='font-size: 11.00px; font-family: Arial;' textLength='75.19px' lengthAdjust='spacingAndGlyphs'>Number of trips</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text transform='translate(13.35,138.71) rotate(-90)' style='font-size: 11.00px; font-family: Arial;' textLength='36.68px' lengthAdjust='spacingAndGlyphs'>Density</text></g>
</svg>
" width="90%" /> ] ] --- ## Polya urn problem * Let an urn start with 1 black ball and 1 white ball. * Repeatedly draw a single ball from the urn * Each time a ball is drawn - you put back that ball plus one extra ball of the same colour back into the urn. > After 1000 draws, how many balls of each colour do you expect to be in the urn? * This is an example of using Monte Carlo to simulate a process --- ## Monte Carlo simulation of the Polya urn problem <img src="data:image/svg+xml;base64,<?xml version='1.0' encoding='UTF-8' ?>
<svg xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' viewBox='0 0 432.00 266.98'>
<defs>
  <style type='text/css'><![CDATA[
    line, polyline, polygon, path, rect, circle {
      fill: none;
      stroke: #000000;
      stroke-linecap: round;
      stroke-linejoin: round;
      stroke-miterlimit: 10.00;
    }
  ]]></style>
</defs>
<rect width='100%' height='100%' style='stroke: none; fill: #FFFFFF;'/>
<defs>
  <clipPath id='cpNDAuNTd8MzUzLjM2fDIzNS4yNXw1LjQ4'>
    <rect x='40.57' y='5.48' width='312.79' height='229.77' />
  </clipPath>
</defs>
<polyline points='40.57,224.81 353.36,224.81 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='40.57,159.48 353.36,159.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='40.57,94.16 353.36,94.16 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='40.57,28.84 353.36,28.84 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='90.09,235.25 90.09,5.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='161.25,235.25 161.25,5.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='232.41,235.25 232.41,5.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='303.57,235.25 303.57,5.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='40.57,192.15 353.36,192.15 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='40.57,126.82 353.36,126.82 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='40.57,61.50 353.36,61.50 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='54.51,235.25 54.51,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='125.67,235.25 125.67,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='196.83,235.25 196.83,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='267.99,235.25 267.99,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='339.15,235.25 339.15,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='54.79,170.37 55.07,126.82 55.36,100.69 55.64,126.82 55.93,108.16 56.21,94.16 56.50,83.27 56.78,74.56 57.07,67.44 57.35,61.50 57.64,56.47 57.92,52.17 58.21,65.85 58.49,61.50 58.77,57.66 59.06,54.24 59.34,51.18 59.63,48.43 59.91,45.95 60.20,43.68 60.48,41.62 60.77,39.72 61.05,37.98 61.34,36.37 61.62,34.89 61.91,33.50 62.19,32.22 62.48,31.01 62.76,29.89 63.04,28.84 63.33,27.85 63.61,26.92 63.90,26.04 64.18,25.21 64.47,31.48 64.75,30.56 65.04,29.67 65.32,28.84 65.61,28.04 65.89,27.28 66.18,26.56 66.46,25.87 66.74,25.21 67.03,24.58 67.31,23.97 67.60,23.39 67.88,22.84 68.17,22.30 68.45,21.79 68.74,21.30 69.02,20.83 69.31,20.37 69.59,19.93 69.88,19.50 70.16,19.10 70.45,18.70 70.73,18.32 71.01,17.95 71.30,17.59 71.58,17.25 71.87,21.06 72.15,20.67 72.44,20.29 72.72,19.93 73.01,19.57 73.29,19.23 73.58,18.90 73.86,18.57 74.15,18.26 74.43,17.95 74.71,17.65 75.00,17.36 75.28,17.08 75.57,16.80 75.85,16.54 76.14,16.27 76.42,19.33 76.71,22.30 76.99,21.98 77.28,24.85 77.56,24.51 77.85,24.17 78.13,23.84 78.42,23.52 78.70,23.21 78.98,22.90 79.27,22.60 79.55,22.30 79.84,22.02 80.12,21.74 80.41,21.46 80.69,21.19 80.98,20.93 81.26,20.67 81.55,20.42 81.83,20.17 82.12,19.93 82.40,19.69 82.68,19.46 82.97,21.79 83.25,21.54 83.54,21.30 83.82,21.06 84.11,20.83 84.39,23.04 84.68,22.79 84.96,22.54 85.25,22.30 85.53,22.07 85.82,21.84 86.10,21.61 86.39,21.39 86.67,21.17 86.95,20.95 87.24,20.74 87.52,20.53 87.81,20.33 88.09,20.13 88.38,19.93 88.66,19.73 88.95,19.54 89.23,19.35 89.52,19.17 89.80,18.99 90.09,18.81 90.37,18.63 90.65,18.46 90.94,18.28 91.22,18.12 91.51,17.95 91.79,17.79 92.08,17.62 92.36,17.47 92.65,19.23 92.93,19.06 93.22,18.90 93.50,18.73 93.79,18.57 94.07,18.41 94.36,18.26 94.64,18.10 94.92,17.95 95.21,17.80 95.49,17.65 95.78,17.50 96.06,17.36 96.35,17.22 96.63,17.08 96.92,16.94 97.20,16.80 97.49,16.67 97.77,16.54 98.06,18.09 98.34,17.95 98.62,17.81 98.91,17.67 99.19,17.54 99.48,17.40 99.76,17.27 100.05,17.14 100.33,17.01 100.62,16.89 100.90,16.76 101.19,16.64 101.47,16.51 101.76,16.39 102.04,16.27 102.33,16.16 102.61,16.04 102.89,15.92 103.18,17.32 103.46,17.20 103.75,18.57 104.03,18.44 104.32,18.32 104.60,19.66 104.89,19.53 105.17,19.40 105.46,19.27 105.74,19.15 106.03,19.02 106.31,18.90 106.59,18.77 106.88,18.65 107.16,18.53 107.45,18.41 107.73,19.68 108.02,20.93 108.30,22.17 108.59,22.03 108.87,21.90 109.16,21.77 109.44,21.63 109.73,22.84 110.01,22.70 110.30,22.57 110.58,22.44 110.86,22.30 111.15,22.17 111.43,22.05 111.72,21.92 112.00,21.79 112.29,22.94 112.57,22.81 112.86,22.68 113.14,22.56 113.43,22.43 113.71,23.55 114.00,23.42 114.28,24.52 114.56,24.39 114.85,24.26 115.13,24.13 115.42,24.00 115.70,23.87 115.99,23.74 116.27,23.62 116.56,23.49 116.84,23.37 117.13,23.25 117.41,23.12 117.70,23.00 117.98,22.88 118.26,22.77 118.55,22.65 118.83,22.53 119.12,22.42 119.40,22.30 119.69,22.19 119.97,23.21 120.26,23.09 120.54,22.97 120.83,22.86 121.11,22.75 121.40,22.63 121.68,23.62 121.97,23.51 122.25,23.39 122.53,23.28 122.82,23.17 123.10,23.06 123.39,22.95 123.67,22.84 123.96,23.79 124.24,23.68 124.53,23.57 124.81,23.46 125.10,23.35 125.38,23.24 125.67,23.13 125.95,23.03 126.23,22.92 126.52,22.82 126.80,22.71 127.09,22.61 127.37,22.51 127.66,22.41 127.94,22.30 128.23,23.21 128.51,23.10 128.80,23.99 129.08,23.89 129.37,23.78 129.65,23.68 129.94,23.58 130.22,23.47 130.50,24.34 130.79,25.21 131.07,25.10 131.36,24.99 131.64,24.89 131.93,24.78 132.21,24.68 132.50,25.52 132.78,25.42 133.07,25.31 133.35,26.14 133.64,26.04 133.92,25.93 134.20,25.83 134.49,25.72 134.77,25.62 135.06,25.51 135.34,25.41 135.63,25.31 135.91,25.21 136.20,25.11 136.48,25.01 136.77,24.91 137.05,25.70 137.34,25.60 137.62,25.50 137.91,25.40 138.19,25.31 138.47,25.21 138.76,25.11 139.04,25.01 139.33,24.92 139.61,24.82 139.90,24.73 140.18,24.63 140.47,24.54 140.75,25.30 141.04,25.21 141.32,25.96 141.61,25.87 141.89,25.77 142.17,25.68 142.46,25.58 142.74,25.49 143.03,26.23 143.31,26.13 143.60,26.87 143.88,26.77 144.17,26.67 144.45,26.58 144.74,27.30 145.02,27.20 145.31,27.92 145.59,28.63 145.88,28.53 146.16,28.43 146.44,28.33 146.73,28.24 147.01,28.14 147.30,28.04 147.58,28.74 147.87,29.43 148.15,29.33 148.44,29.23 148.72,29.13 149.01,29.81 149.29,30.49 149.58,30.39 149.86,30.29 150.14,30.19 150.43,30.09 150.71,30.76 151.00,30.66 151.28,30.56 151.57,30.46 151.85,31.12 152.14,31.01 152.42,30.91 152.71,30.81 152.99,31.46 153.28,31.36 153.56,31.26 153.85,31.91 154.13,32.55 154.41,32.45 154.70,33.08 154.98,32.98 155.27,32.87 155.55,32.77 155.84,32.67 156.12,33.29 156.41,33.19 156.69,33.09 156.98,32.99 157.26,32.89 157.55,33.50 157.83,33.40 158.11,33.30 158.40,33.20 158.68,33.10 158.97,33.00 159.25,32.90 159.54,32.80 159.82,32.70 160.11,32.60 160.39,32.50 160.68,32.41 160.96,32.31 161.25,32.22 161.53,32.12 161.82,32.03 162.10,31.93 162.38,31.84 162.67,31.74 162.95,31.65 163.24,31.56 163.52,31.47 163.81,31.37 164.09,31.28 164.38,31.19 164.66,31.10 164.95,31.68 165.23,31.59 165.52,31.50 165.80,31.41 166.08,31.32 166.37,31.23 166.65,31.15 166.94,31.06 167.22,30.97 167.51,31.54 167.79,31.45 168.08,31.36 168.36,31.27 168.65,31.19 168.93,31.75 169.22,31.66 169.50,32.22 169.79,32.77 170.07,32.68 170.35,32.59 170.64,32.50 170.92,32.41 171.21,32.32 171.49,32.24 171.78,32.15 172.06,32.06 172.35,31.98 172.63,31.89 172.92,31.81 173.20,31.72 173.49,32.26 173.77,32.79 174.05,32.71 174.34,32.62 174.62,32.53 174.91,32.45 175.19,32.98 175.48,33.50 175.76,33.42 176.05,33.33 176.33,33.24 176.62,33.16 176.90,33.07 177.19,32.99 177.47,32.90 177.76,32.82 178.04,33.33 178.32,33.25 178.61,33.16 178.89,33.08 179.18,32.99 179.46,32.91 179.75,33.42 180.03,33.33 180.32,33.25 180.60,33.17 180.89,33.08 181.17,33.00 181.46,33.50 181.74,34.00 182.02,33.92 182.31,33.83 182.59,33.75 182.88,34.24 183.16,34.74 183.45,34.65 183.73,34.57 184.02,34.48 184.30,34.40 184.59,34.32 184.87,34.23 185.16,34.72 185.44,34.63 185.73,34.55 186.01,34.47 186.29,34.39 186.58,34.30 186.86,34.22 187.15,34.14 187.43,34.06 187.72,33.98 188.00,33.90 188.29,33.82 188.57,33.74 188.86,33.66 189.14,33.58 189.43,33.50 189.71,33.42 189.99,33.35 190.28,33.27 190.56,33.19 190.85,33.66 191.13,33.58 191.42,33.50 191.70,33.43 191.99,33.35 192.27,33.81 192.56,33.73 192.84,34.19 193.13,34.11 193.41,34.04 193.70,33.96 193.98,33.88 194.26,33.81 194.55,33.73 194.83,33.65 195.12,33.58 195.40,33.50 195.69,33.43 195.97,33.35 196.26,33.28 196.54,33.20 196.83,33.13 197.11,33.06 197.40,32.98 197.68,32.91 197.96,32.84 198.25,32.77 198.53,32.69 198.82,32.62 199.10,32.55 199.39,32.48 199.67,32.41 199.96,32.34 200.24,32.27 200.53,32.71 200.81,32.63 201.10,32.56 201.38,32.49 201.66,32.93 201.95,32.86 202.23,32.79 202.52,32.72 202.80,32.65 203.09,32.58 203.37,32.51 203.66,32.44 203.94,32.37 204.23,32.30 204.51,32.23 204.80,32.16 205.08,32.10 205.37,32.03 205.65,31.96 205.93,31.89 206.22,31.83 206.50,31.76 206.79,31.70 207.07,31.63 207.36,31.56 207.64,31.50 207.93,31.43 208.21,31.37 208.50,31.30 208.78,31.24 209.07,31.17 209.35,31.11 209.63,31.05 209.92,30.98 210.20,30.92 210.49,30.86 210.77,30.79 211.06,30.73 211.34,30.67 211.63,30.61 211.91,30.54 212.20,30.95 212.48,30.89 212.77,30.83 213.05,30.76 213.34,30.70 213.62,30.64 213.90,30.58 214.19,30.52 214.47,30.46 214.76,30.40 215.04,30.34 215.33,30.28 215.61,30.22 215.90,30.16 216.18,30.10 216.47,30.04 216.75,29.98 217.04,29.92 217.32,29.86 217.60,29.80 217.89,29.74 218.17,30.14 218.46,30.08 218.74,30.02 219.03,29.96 219.31,29.90 219.60,29.85 219.88,29.79 220.17,29.73 220.45,29.67 220.74,29.62 221.02,29.56 221.31,29.50 221.59,29.45 221.87,29.39 222.16,29.33 222.44,29.28 222.73,29.22 223.01,29.17 223.30,29.11 223.58,29.06 223.87,29.00 224.15,28.95 224.44,28.89 224.72,28.84 225.01,28.78 225.29,28.73 225.57,28.67 225.86,28.62 226.14,29.00 226.43,28.94 226.71,28.89 227.00,28.84 227.28,28.78 227.57,28.73 227.85,28.68 228.14,28.62 228.42,29.00 228.71,28.94 228.99,28.89 229.28,28.84 229.56,28.78 229.84,29.15 230.13,29.10 230.41,29.05 230.70,28.99 230.98,28.94 231.27,28.89 231.55,28.84 231.84,29.20 232.12,29.15 232.41,29.10 232.69,29.04 232.98,28.99 233.26,28.94 233.54,28.89 233.83,28.84 234.11,28.78 234.40,28.73 234.68,28.68 234.97,28.63 235.25,28.58 235.54,28.53 235.82,28.48 236.11,28.43 236.39,28.38 236.68,28.73 236.96,28.68 237.25,28.63 237.53,28.58 237.81,28.53 238.10,28.48 238.38,28.43 238.67,28.38 238.95,28.33 239.24,28.28 239.52,28.24 239.81,28.19 240.09,28.14 240.38,28.09 240.66,28.04 240.95,27.99 241.23,27.94 241.51,27.89 241.80,28.24 242.08,28.59 242.37,28.54 242.65,28.49 242.94,28.44 243.22,28.39 243.51,28.35 243.79,28.30 244.08,28.25 244.36,28.20 244.65,28.15 244.93,28.11 245.22,28.06 245.50,28.01 245.78,27.96 246.07,27.92 246.35,27.87 246.64,27.82 246.92,27.78 247.21,27.73 247.49,27.68 247.78,27.64 248.06,27.59 248.35,27.55 248.63,27.50 248.92,27.45 249.20,27.41 249.48,27.36 249.77,27.70 250.05,27.65 250.34,27.61 250.62,27.56 250.91,27.51 251.19,27.85 251.48,28.18 251.76,28.51 252.05,28.46 252.33,28.41 252.62,28.74 252.90,28.70 253.19,28.65 253.47,28.60 253.75,28.56 254.04,28.51 254.32,28.47 254.61,28.42 254.89,28.37 255.18,28.33 255.46,28.28 255.75,28.24 256.03,28.19 256.32,28.15 256.60,28.10 256.89,28.06 257.17,28.38 257.45,28.33 257.74,28.29 258.02,28.24 258.31,28.20 258.59,28.52 258.88,28.47 259.16,28.79 259.45,28.75 259.73,29.06 260.02,29.02 260.30,28.97 260.59,28.93 260.87,29.24 261.16,29.20 261.44,29.15 261.72,29.10 262.01,29.06 262.29,29.01 262.58,28.97 262.86,28.93 263.15,28.88 263.43,28.84 263.72,28.79 264.00,28.75 264.29,28.70 264.57,28.66 264.86,28.62 265.14,28.57 265.42,28.53 265.71,28.49 265.99,28.44 266.28,28.40 266.56,28.36 266.85,28.31 267.13,28.27 267.42,28.23 267.70,28.18 267.99,28.14 268.27,28.10 268.56,28.06 268.84,28.36 269.13,28.66 269.41,28.62 269.69,28.58 269.98,28.88 270.26,28.84 270.55,28.79 270.83,28.75 271.12,28.71 271.40,28.67 271.69,28.62 271.97,28.58 272.26,28.54 272.54,28.84 272.83,28.79 273.11,28.75 273.39,29.05 273.68,29.01 273.96,28.96 274.25,28.92 274.53,28.88 274.82,28.84 275.10,28.79 275.39,28.75 275.67,29.05 275.96,29.00 276.24,28.96 276.53,28.92 276.81,28.88 277.10,28.84 277.38,28.79 277.66,28.75 277.95,28.71 278.23,28.67 278.52,28.63 278.80,28.59 279.09,28.55 279.37,28.51 279.66,28.47 279.94,28.43 280.23,28.38 280.51,28.34 280.80,28.63 281.08,28.92 281.36,28.88 281.65,29.16 281.93,29.12 282.22,29.08 282.50,29.04 282.79,29.00 283.07,28.96 283.36,28.92 283.64,28.88 283.93,28.84 284.21,28.80 284.50,28.76 284.78,28.72 285.06,28.68 285.35,28.64 285.63,28.60 285.92,28.56 286.20,28.52 286.49,28.48 286.77,28.44 287.06,28.40 287.34,28.36 287.63,28.32 287.91,28.60 288.20,28.56 288.48,28.52 288.77,28.48 289.05,28.44 289.33,28.40 289.62,28.36 289.90,28.32 290.19,28.29 290.47,28.25 290.76,28.52 291.04,28.80 291.33,28.76 291.61,28.72 291.90,28.68 292.18,28.64 292.47,28.60 292.75,28.56 293.03,28.53 293.32,28.49 293.60,28.45 293.89,28.41 294.17,28.37 294.46,28.33 294.74,28.30 295.03,28.26 295.31,28.53 295.60,28.49 295.88,28.45 296.17,28.41 296.45,28.38 296.74,28.34 297.02,28.30 297.30,28.26 297.59,28.23 297.87,28.49 298.16,28.76 298.44,28.72 298.73,28.68 299.01,28.65 299.30,28.61 299.58,28.57 299.87,28.53 300.15,28.50 300.44,28.46 300.72,28.42 301.00,28.38 301.29,28.65 301.57,28.61 301.86,28.87 302.14,28.84 302.43,28.80 302.71,28.76 303.00,28.72 303.28,28.69 303.57,28.65 303.85,28.61 304.14,28.58 304.42,28.54 304.71,28.50 304.99,28.47 305.27,28.43 305.56,28.39 305.84,28.36 306.13,28.32 306.41,28.28 306.70,28.25 306.98,28.51 307.27,28.47 307.55,28.43 307.84,28.69 308.12,28.95 308.41,28.91 308.69,28.87 308.97,28.84 309.26,28.80 309.54,28.76 309.83,28.73 310.11,28.69 310.40,28.66 310.68,28.62 310.97,28.87 311.25,28.84 311.54,28.80 311.82,28.76 312.11,28.73 312.39,28.69 312.68,28.66 312.96,28.62 313.24,28.59 313.53,28.55 313.81,28.51 314.10,28.48 314.38,28.44 314.67,28.41 314.95,28.37 315.24,28.34 315.52,28.30 315.81,28.27 316.09,28.23 316.38,28.20 316.66,28.16 316.94,28.13 317.23,28.09 317.51,28.06 317.80,28.03 318.08,27.99 318.37,27.96 318.65,27.92 318.94,27.89 319.22,27.86 319.51,27.82 319.79,27.79 320.08,27.75 320.36,27.72 320.65,27.69 320.93,27.65 321.21,27.62 321.50,27.59 321.78,27.55 322.07,27.52 322.35,27.76 322.64,27.73 322.92,27.70 323.21,27.66 323.49,27.63 323.78,27.60 324.06,27.56 324.35,27.53 324.63,27.50 324.91,27.46 325.20,27.43 325.48,27.40 325.77,27.37 326.05,27.33 326.34,27.30 326.62,27.27 326.91,27.24 327.19,27.20 327.48,27.17 327.76,27.14 328.05,27.11 328.33,27.07 328.62,27.04 328.90,27.01 329.18,26.98 329.47,27.22 329.75,27.18 330.04,27.15 330.32,27.12 330.61,27.09 330.89,27.06 331.18,27.03 331.46,27.26 331.75,27.23 332.03,27.47 332.32,27.43 332.60,27.40 332.88,27.37 333.17,27.60 333.45,27.57 333.74,27.54 334.02,27.77 334.31,27.74 334.59,27.71 334.88,27.68 335.16,27.65 335.45,27.61 335.73,27.58 336.02,27.55 336.30,27.52 336.59,27.49 336.87,27.46 337.15,27.42 337.44,27.39 337.72,27.36 338.01,27.33 338.29,27.30 338.58,27.27 338.86,27.24 339.15,27.47 ' style='stroke-width: 1.07; stroke: #F8766D; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='54.79,83.27 55.07,61.50 55.36,100.69 55.64,83.27 55.93,70.83 56.21,61.50 56.50,54.24 56.78,48.43 57.07,67.44 57.35,61.50 57.64,56.47 57.92,52.17 58.21,48.43 58.49,45.17 58.77,42.29 59.06,39.72 59.34,51.18 59.63,48.43 59.91,45.95 60.20,55.56 60.48,52.98 60.77,50.61 61.05,48.43 61.34,46.42 61.62,54.24 61.91,61.50 62.19,59.25 62.48,57.14 62.76,55.18 63.04,53.33 63.33,59.52 63.61,57.66 63.90,55.90 64.18,54.24 64.47,59.73 64.75,64.94 65.04,63.17 65.32,61.50 65.61,66.28 65.89,64.61 66.18,63.02 66.46,61.50 66.74,60.05 67.03,64.34 67.31,68.45 67.60,66.94 67.88,65.50 68.17,64.11 68.45,62.78 68.74,61.50 69.02,60.27 69.31,63.92 69.59,62.69 69.88,61.50 70.16,64.94 70.45,63.75 70.73,62.61 71.01,61.50 71.30,60.43 71.58,63.61 71.87,62.54 72.15,61.50 72.44,64.51 72.72,63.48 73.01,62.47 73.29,61.50 73.58,60.55 73.86,59.63 74.15,62.42 74.43,65.13 74.71,64.18 75.00,63.26 75.28,62.37 75.57,61.50 75.85,60.65 76.14,59.82 76.42,62.33 76.71,61.50 76.99,60.69 77.28,59.91 77.56,59.14 77.85,58.39 78.13,57.66 78.42,56.94 78.70,59.25 78.98,61.50 79.27,60.76 79.55,60.05 79.84,59.34 80.12,58.66 80.41,57.99 80.69,57.33 80.98,59.44 81.26,58.78 81.55,58.13 81.83,57.50 82.12,59.52 82.40,58.89 82.68,58.26 82.97,57.66 83.25,59.60 83.54,61.50 83.82,60.88 84.11,60.27 84.39,62.11 84.68,61.50 84.96,60.90 85.25,62.69 85.53,62.09 85.82,61.50 86.10,60.92 86.39,60.35 86.67,59.79 86.95,61.50 87.24,63.17 87.52,64.82 87.81,66.44 88.09,65.85 88.38,65.28 88.66,66.85 88.95,66.28 89.23,65.71 89.52,65.16 89.80,66.68 90.09,66.13 90.37,65.58 90.65,65.04 90.94,64.51 91.22,65.99 91.51,67.44 91.79,66.90 92.08,66.37 92.36,65.85 92.65,67.26 92.93,66.74 93.22,66.23 93.50,65.73 93.79,65.23 94.07,64.74 94.36,64.26 94.64,65.61 94.92,65.13 95.21,64.65 95.49,64.18 95.78,65.50 96.06,66.79 96.35,66.32 96.63,67.60 96.92,67.12 97.20,66.66 97.49,67.90 97.77,67.44 98.06,66.98 98.34,66.52 98.62,66.08 98.91,65.63 99.19,65.20 99.48,64.76 99.76,65.96 100.05,65.53 100.33,65.11 100.62,66.28 100.90,65.85 101.19,65.43 101.47,66.58 101.76,67.72 102.04,67.30 102.33,66.88 102.61,66.46 102.89,66.06 103.18,65.65 103.46,65.25 103.75,64.86 104.03,64.47 104.32,64.08 104.60,63.70 104.89,64.78 105.17,64.40 105.46,64.02 105.74,63.65 106.03,64.71 106.31,64.34 106.59,65.38 106.88,66.42 107.16,66.04 107.45,67.06 107.73,68.07 108.02,67.69 108.30,67.31 108.59,68.30 108.87,67.93 109.16,67.56 109.44,67.19 109.73,66.83 110.01,66.47 110.30,66.12 110.58,65.77 110.86,65.42 111.15,66.37 111.43,66.03 111.72,65.68 112.00,65.34 112.29,65.00 112.57,64.67 112.86,65.60 113.14,65.27 113.43,64.94 113.71,64.61 114.00,64.28 114.28,63.96 114.56,63.65 114.85,63.33 115.13,64.23 115.42,65.13 115.70,66.01 115.99,65.69 116.27,65.38 116.56,65.06 116.84,64.75 117.13,64.44 117.41,64.13 117.70,63.83 117.98,63.53 118.26,63.23 118.55,62.94 118.83,62.64 119.12,63.50 119.40,64.34 119.69,64.04 119.97,63.75 120.26,64.58 120.54,64.29 120.83,64.00 121.11,64.82 121.40,64.53 121.68,64.24 121.97,63.96 122.25,63.68 122.53,63.40 122.82,63.12 123.10,62.84 123.39,63.64 123.67,64.43 123.96,64.15 124.24,63.88 124.53,63.61 124.81,64.38 125.10,64.11 125.38,63.84 125.67,64.61 125.95,64.34 126.23,64.07 126.52,64.83 126.80,64.56 127.09,65.31 127.37,65.04 127.66,65.79 127.94,66.52 128.23,67.25 128.51,66.98 128.80,66.71 129.08,66.45 129.37,66.18 129.65,65.92 129.94,65.66 130.22,66.37 130.50,66.11 130.79,65.85 131.07,66.56 131.36,67.26 131.64,67.00 131.93,66.74 132.21,66.49 132.50,66.23 132.78,65.98 133.07,65.73 133.35,65.48 133.64,65.23 133.92,64.99 134.20,64.74 134.49,65.42 134.77,65.18 135.06,64.94 135.34,64.70 135.63,64.46 135.91,64.22 136.20,64.89 136.48,64.65 136.77,65.31 137.05,65.08 137.34,64.84 137.62,64.61 137.91,64.38 138.19,64.15 138.47,63.92 138.76,63.69 139.04,63.46 139.33,63.24 139.61,63.02 139.90,63.66 140.18,63.44 140.47,63.22 140.75,63.85 141.04,64.49 141.32,65.12 141.61,64.89 141.89,64.67 142.17,65.29 142.46,65.07 142.74,64.85 143.03,64.63 143.31,64.41 143.60,65.02 143.88,64.81 144.17,64.59 144.45,64.37 144.74,64.16 145.02,63.95 145.31,64.55 145.59,64.34 145.88,64.13 146.16,64.72 146.44,64.51 146.73,64.30 147.01,64.10 147.30,63.89 147.58,64.48 147.87,64.27 148.15,64.06 148.44,63.86 148.72,63.66 149.01,64.24 149.29,64.81 149.58,64.61 149.86,64.41 150.14,64.98 150.43,64.77 150.71,64.57 151.00,64.37 151.28,64.17 151.57,63.97 151.85,63.78 152.14,63.58 152.42,63.39 152.71,63.19 152.99,63.75 153.28,63.56 153.56,63.36 153.85,63.17 154.13,62.98 154.41,62.79 154.70,62.61 154.98,62.42 155.27,62.23 155.55,62.78 155.84,62.59 156.12,62.41 156.41,62.22 156.69,62.77 156.98,62.58 157.26,62.40 157.55,62.22 157.83,62.04 158.11,61.86 158.40,62.39 158.68,62.21 158.97,62.03 159.25,61.85 159.54,61.67 159.82,62.20 160.11,62.72 160.39,62.55 160.68,62.37 160.96,62.19 161.25,62.02 161.53,62.54 161.82,62.36 162.10,62.19 162.38,62.01 162.67,61.84 162.95,61.67 163.24,61.50 163.52,62.01 163.81,62.51 164.09,62.34 164.38,62.17 164.66,62.00 164.95,61.83 165.23,61.67 165.52,62.16 165.80,62.00 166.08,61.83 166.37,62.33 166.65,62.16 166.94,62.65 167.22,62.48 167.51,62.97 167.79,63.46 168.08,63.94 168.36,63.77 168.65,63.61 168.93,63.44 169.22,63.27 169.50,63.11 169.79,63.58 170.07,64.06 170.35,63.89 170.64,64.37 170.92,64.20 171.21,64.04 171.49,63.87 171.78,63.71 172.06,64.17 172.35,64.64 172.63,64.47 172.92,64.94 173.20,64.77 173.49,64.61 173.77,64.45 174.05,64.28 174.34,64.12 174.62,63.96 174.91,63.80 175.19,63.65 175.48,63.49 175.76,63.33 176.05,63.78 176.33,63.63 176.62,63.47 176.90,63.92 177.19,64.36 177.47,64.21 177.76,64.05 178.04,64.49 178.32,64.34 178.61,64.18 178.89,64.03 179.18,63.87 179.46,63.72 179.75,64.16 180.03,64.01 180.32,64.44 180.60,64.29 180.89,64.72 181.17,64.57 181.46,65.00 181.74,64.84 182.02,64.69 182.31,65.12 182.59,65.55 182.88,65.39 183.16,65.24 183.45,65.09 183.73,64.94 184.02,64.79 184.30,64.64 184.59,64.49 184.87,64.34 185.16,64.19 185.44,64.04 185.73,63.90 186.01,63.75 186.29,63.61 186.58,63.46 186.86,63.88 187.15,63.73 187.43,63.59 187.72,64.00 188.00,63.86 188.29,64.27 188.57,64.12 188.86,63.98 189.14,63.84 189.43,63.69 189.71,63.55 189.99,63.41 190.28,63.27 190.56,63.13 190.85,63.54 191.13,63.40 191.42,63.26 191.70,63.66 191.99,64.06 192.27,63.92 192.56,63.78 192.84,63.64 193.13,64.04 193.41,63.90 193.70,63.76 193.98,64.15 194.26,64.02 194.55,63.88 194.83,64.27 195.12,64.66 195.40,64.52 195.69,64.38 195.97,64.25 196.26,64.11 196.54,63.98 196.83,63.84 197.11,64.23 197.40,64.09 197.68,63.96 197.96,63.82 198.25,64.20 198.53,64.07 198.82,63.94 199.10,63.80 199.39,63.67 199.67,63.54 199.96,63.41 200.24,63.79 200.53,63.65 200.81,63.52 201.10,63.39 201.38,63.26 201.66,63.13 201.95,63.01 202.23,62.88 202.52,62.75 202.80,62.62 203.09,62.50 203.37,62.37 203.66,62.24 203.94,62.61 204.23,62.49 204.51,62.36 204.80,62.73 205.08,62.61 205.37,62.48 205.65,62.36 205.93,62.23 206.22,62.11 206.50,61.99 206.79,61.86 207.07,62.23 207.36,62.10 207.64,61.98 207.93,61.86 208.21,61.74 208.50,61.62 208.78,61.50 209.07,61.86 209.35,61.74 209.63,61.62 209.92,61.50 210.20,61.38 210.49,61.26 210.77,61.14 211.06,61.50 211.34,61.85 211.63,61.73 211.91,61.62 212.20,61.97 212.48,61.85 212.77,61.73 213.05,61.62 213.34,61.50 213.62,61.38 213.90,61.73 214.19,61.61 214.47,61.96 214.76,61.85 215.04,61.73 215.33,61.61 215.61,61.50 215.90,61.38 216.18,61.73 216.47,61.61 216.75,61.50 217.04,61.84 217.32,61.73 217.60,61.61 217.89,61.50 218.17,61.39 218.46,61.27 218.74,61.16 219.03,61.50 219.31,61.39 219.60,61.27 219.88,61.61 220.17,61.95 220.45,61.83 220.74,61.72 221.02,61.61 221.31,61.50 221.59,61.83 221.87,61.72 222.16,62.05 222.44,62.38 222.73,62.27 223.01,62.16 223.30,62.49 223.58,62.38 223.87,62.70 224.15,62.59 224.44,62.48 224.72,62.37 225.01,62.26 225.29,62.15 225.57,62.04 225.86,61.93 226.14,61.82 226.43,61.71 226.71,62.04 227.00,62.36 227.28,62.68 227.57,62.57 227.85,62.46 228.14,62.78 228.42,63.10 228.71,62.99 228.99,62.88 229.28,62.77 229.56,63.09 229.84,62.98 230.13,63.29 230.41,63.18 230.70,63.08 230.98,62.97 231.27,62.86 231.55,62.75 231.84,62.65 232.12,62.96 232.41,62.85 232.69,62.75 232.98,62.64 233.26,62.54 233.54,62.43 233.83,62.33 234.11,62.22 234.40,62.12 234.68,62.01 234.97,61.91 235.25,61.81 235.54,61.70 235.82,61.60 236.11,61.91 236.39,62.21 236.68,62.11 236.96,62.41 237.25,62.72 237.53,63.02 237.81,62.91 238.10,62.81 238.38,63.11 238.67,63.01 238.95,62.91 239.24,62.80 239.52,62.70 239.81,62.60 240.09,62.50 240.38,62.79 240.66,63.09 240.95,62.99 241.23,63.29 241.51,63.18 241.80,63.08 242.08,63.38 242.37,63.27 242.65,63.57 242.94,63.86 243.22,63.76 243.51,63.66 243.79,63.56 244.08,63.45 244.36,63.35 244.65,63.25 244.93,63.15 245.22,63.05 245.50,62.95 245.78,62.86 246.07,62.76 246.35,62.66 246.64,62.56 246.92,62.46 247.21,62.75 247.49,62.65 247.78,62.55 248.06,62.46 248.35,62.36 248.63,62.26 248.92,62.17 249.20,62.45 249.48,62.35 249.77,62.26 250.05,62.16 250.34,62.45 250.62,62.35 250.91,62.25 251.19,62.54 251.48,62.44 251.76,62.72 252.05,62.62 252.33,62.53 252.62,62.43 252.90,62.71 253.19,62.99 253.47,62.90 253.75,62.80 254.04,63.08 254.32,62.98 254.61,62.89 254.89,62.79 255.18,63.07 255.46,62.97 255.75,62.88 256.03,62.79 256.32,63.06 256.60,63.33 256.89,63.24 257.17,63.51 257.45,63.78 257.74,64.05 258.02,63.96 258.31,63.86 258.59,63.77 258.88,63.68 259.16,63.58 259.45,63.49 259.73,63.40 260.02,63.30 260.30,63.21 260.59,63.12 260.87,63.39 261.16,63.65 261.44,63.56 261.72,63.47 262.01,63.73 262.29,63.64 262.58,63.55 262.86,63.46 263.15,63.36 263.43,63.63 263.72,63.89 264.00,63.80 264.29,64.06 264.57,64.32 264.86,64.58 265.14,64.49 265.42,64.40 265.71,64.31 265.99,64.22 266.28,64.13 266.56,64.03 266.85,64.29 267.13,64.20 267.42,64.46 267.70,64.37 267.99,64.28 268.27,64.19 268.56,64.10 268.84,64.01 269.13,63.92 269.41,63.83 269.69,63.74 269.98,63.65 270.26,63.91 270.55,63.82 270.83,64.07 271.12,64.32 271.40,64.23 271.69,64.49 271.97,64.74 272.26,64.65 272.54,64.56 272.83,64.47 273.11,64.72 273.39,64.63 273.68,64.54 273.96,64.46 274.25,64.37 274.53,64.28 274.82,64.19 275.10,64.10 275.39,64.02 275.67,63.93 275.96,63.84 276.24,63.76 276.53,63.67 276.81,63.58 277.10,63.50 277.38,63.41 277.66,63.33 277.95,63.24 278.23,63.16 278.52,63.07 278.80,62.99 279.09,63.23 279.37,63.48 279.66,63.39 279.94,63.31 280.23,63.22 280.51,63.14 280.80,63.06 281.08,62.97 281.36,62.89 281.65,62.80 281.93,62.72 282.22,62.64 282.50,62.56 282.79,62.80 283.07,63.04 283.36,63.28 283.64,63.20 283.93,63.12 284.21,63.36 284.50,63.27 284.78,63.19 285.06,63.11 285.35,63.35 285.63,63.26 285.92,63.18 286.20,63.10 286.49,63.34 286.77,63.26 287.06,63.17 287.34,63.41 287.63,63.65 287.91,63.56 288.20,63.48 288.48,63.72 288.77,63.95 289.05,63.87 289.33,63.79 289.62,63.71 289.90,63.63 290.19,63.54 290.47,63.46 290.76,63.38 291.04,63.30 291.33,63.53 291.61,63.77 291.90,63.69 292.18,63.61 292.47,63.53 292.75,63.44 293.03,63.36 293.32,63.28 293.60,63.52 293.89,63.44 294.17,63.36 294.46,63.28 294.74,63.20 295.03,63.43 295.31,63.35 295.60,63.27 295.88,63.50 296.17,63.42 296.45,63.34 296.74,63.26 297.02,63.18 297.30,63.10 297.59,63.02 297.87,62.95 298.16,62.87 298.44,62.79 298.73,62.71 299.01,62.64 299.30,62.56 299.58,62.48 299.87,62.41 300.15,62.33 300.44,62.25 300.72,62.48 301.00,62.70 301.29,62.63 301.57,62.85 301.86,62.77 302.14,62.70 302.43,62.62 302.71,62.54 303.00,62.77 303.28,62.69 303.57,62.62 303.85,62.54 304.14,62.46 304.42,62.39 304.71,62.31 304.99,62.54 305.27,62.46 305.56,62.39 305.84,62.31 306.13,62.53 306.41,62.75 306.70,62.68 306.98,62.60 307.27,62.53 307.55,62.45 307.84,62.38 308.12,62.30 308.41,62.52 308.69,62.74 308.97,62.66 309.26,62.59 309.54,62.52 309.83,62.44 310.11,62.37 310.40,62.30 310.68,62.22 310.97,62.44 311.25,62.65 311.54,62.87 311.82,62.80 312.11,62.72 312.39,62.94 312.68,62.86 312.96,62.79 313.24,62.72 313.53,62.64 313.81,62.86 314.10,62.78 314.38,63.00 314.67,62.92 314.95,62.85 315.24,62.78 315.52,62.71 315.81,62.63 316.09,62.85 316.38,62.77 316.66,62.70 316.94,62.63 317.23,62.84 317.51,62.77 317.80,62.70 318.08,62.62 318.37,62.55 318.65,62.48 318.94,62.69 319.22,62.62 319.51,62.55 319.79,62.76 320.08,62.97 320.36,62.89 320.65,62.82 320.93,63.03 321.21,63.24 321.50,63.17 321.78,63.10 322.07,63.30 322.35,63.23 322.64,63.16 322.92,63.09 323.21,63.29 323.49,63.22 323.78,63.15 324.06,63.08 324.35,63.29 324.63,63.22 324.91,63.15 325.20,63.35 325.48,63.55 325.77,63.48 326.05,63.41 326.34,63.34 326.62,63.27 326.91,63.20 327.19,63.40 327.48,63.33 327.76,63.26 328.05,63.19 328.33,63.12 328.62,63.06 328.90,62.99 329.18,62.92 329.47,62.85 329.75,63.05 330.04,63.25 330.32,63.45 330.61,63.38 330.89,63.31 331.18,63.51 331.46,63.44 331.75,63.37 332.03,63.30 332.32,63.50 332.60,63.70 332.88,63.63 333.17,63.56 333.45,63.49 333.74,63.43 334.02,63.36 334.31,63.29 334.59,63.22 334.88,63.15 335.16,63.09 335.45,63.02 335.73,63.21 336.02,63.15 336.30,63.34 336.59,63.27 336.87,63.21 337.15,63.40 337.44,63.33 337.72,63.27 338.01,63.46 338.29,63.39 338.58,63.33 338.86,63.26 339.15,63.19 ' style='stroke-width: 1.07; stroke: #A3A500; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='54.79,170.37 55.07,192.15 55.36,205.21 55.64,213.92 55.93,182.81 56.21,192.15 56.50,199.40 56.78,205.21 57.07,209.96 57.35,213.92 57.64,217.27 57.92,220.14 58.21,222.63 58.49,224.81 58.77,211.36 59.06,213.92 59.34,216.21 59.63,218.28 59.91,207.70 60.20,209.96 60.48,212.03 60.77,203.03 61.05,205.21 61.34,207.22 61.62,209.08 61.91,210.81 62.19,212.42 62.48,213.92 62.76,215.33 63.04,216.64 63.33,217.88 63.61,211.36 63.90,212.68 64.18,213.92 64.47,215.10 64.75,216.21 65.04,210.57 65.32,205.21 65.61,206.49 65.89,207.70 66.18,208.86 66.46,209.96 66.74,211.02 67.03,212.03 67.31,212.99 67.60,213.92 67.88,214.81 68.17,210.44 68.45,211.36 68.74,212.25 69.02,213.10 69.31,213.92 69.59,214.71 69.88,215.48 70.16,216.21 70.45,216.92 70.73,217.61 71.01,218.28 71.30,214.63 71.58,215.33 71.87,215.99 72.15,216.64 72.44,213.25 72.72,213.92 73.01,210.67 73.29,207.52 73.58,208.24 73.86,208.94 74.15,209.63 74.43,210.29 74.71,207.36 75.00,208.04 75.28,205.21 75.57,205.90 75.85,206.57 76.14,207.22 76.42,207.86 76.71,208.48 76.99,209.08 77.28,206.49 77.56,203.95 77.85,204.59 78.13,205.21 78.42,205.82 78.70,206.41 78.98,206.99 79.27,204.62 79.55,205.21 79.84,205.79 80.12,206.35 80.41,206.90 80.69,207.43 80.98,205.21 81.26,203.03 81.55,203.59 81.83,204.14 82.12,204.68 82.40,205.21 82.68,205.73 82.97,206.24 83.25,206.73 83.54,204.71 83.82,202.72 84.11,203.24 84.39,203.75 84.68,204.24 84.96,204.73 85.25,205.21 85.53,205.68 85.82,206.14 86.10,206.60 86.39,207.04 86.67,207.48 86.95,207.91 87.24,208.34 87.52,208.75 87.81,209.16 88.09,207.39 88.38,207.80 88.66,206.07 88.95,206.49 89.23,206.90 89.52,207.30 89.80,207.70 90.09,208.09 90.37,206.44 90.65,206.83 90.94,207.22 91.22,207.60 91.51,207.98 91.79,208.35 92.08,208.72 92.36,209.08 92.65,207.52 92.93,207.88 93.22,208.24 93.50,206.71 93.79,207.08 94.07,207.43 94.36,207.79 94.64,208.13 94.92,208.48 95.21,208.81 95.49,209.15 95.78,207.70 96.06,208.04 96.35,208.37 96.63,208.69 96.92,207.29 97.20,207.62 97.49,207.94 97.77,208.26 98.06,206.90 98.34,207.22 98.62,205.88 98.91,206.20 99.19,206.53 99.48,206.84 99.76,207.16 100.05,205.86 100.33,206.17 100.62,206.49 100.90,206.79 101.19,207.10 101.47,207.40 101.76,206.14 102.04,206.45 102.33,206.75 102.61,207.04 102.89,207.34 103.18,207.63 103.46,206.41 103.75,206.70 104.03,206.99 104.32,207.28 104.60,207.56 104.89,207.84 105.17,208.11 105.46,206.94 105.74,207.22 106.03,207.50 106.31,206.35 106.59,206.62 106.88,206.90 107.16,205.77 107.45,206.04 107.73,206.32 108.02,206.59 108.30,206.85 108.59,207.12 108.87,207.38 109.16,207.64 109.44,207.89 109.73,208.14 110.01,208.39 110.30,208.64 110.58,208.89 110.86,207.82 111.15,208.07 111.43,208.32 111.72,208.56 112.00,208.80 112.29,209.03 112.57,209.27 112.86,209.50 113.14,209.73 113.43,209.96 113.71,210.19 114.00,210.41 114.28,210.63 114.56,210.85 114.85,211.07 115.13,211.29 115.42,210.29 115.70,210.51 115.99,210.72 116.27,210.94 116.56,211.15 116.84,211.36 117.13,211.57 117.41,211.77 117.70,211.98 117.98,211.02 118.26,211.22 118.55,211.43 118.83,211.63 119.12,211.83 119.40,212.03 119.69,212.22 119.97,212.42 120.26,212.61 120.54,212.80 120.83,211.88 121.11,212.08 121.40,212.27 121.68,212.46 121.97,212.65 122.25,212.83 122.53,211.93 122.82,212.12 123.10,212.31 123.39,212.49 123.67,212.68 123.96,212.86 124.24,211.98 124.53,212.16 124.81,212.35 125.10,212.53 125.38,212.71 125.67,212.88 125.95,213.06 126.23,213.23 126.52,213.41 126.80,213.58 127.09,213.75 127.37,213.92 127.66,214.09 127.94,214.26 128.23,214.42 128.51,214.59 128.80,214.75 129.08,214.91 129.37,215.07 129.65,215.23 129.94,214.41 130.22,214.57 130.50,213.76 130.79,213.92 131.07,214.08 131.36,214.24 131.64,214.40 131.93,213.60 132.21,213.76 132.50,213.92 132.78,214.08 133.07,214.23 133.35,214.39 133.64,214.54 133.92,214.70 134.20,214.85 134.49,215.00 134.77,214.23 135.06,214.38 135.34,214.53 135.63,214.68 135.91,214.83 136.20,214.98 136.48,215.12 136.77,215.27 137.05,215.41 137.34,215.56 137.62,215.70 137.91,215.84 138.19,215.98 138.47,216.12 138.76,216.26 139.04,216.40 139.33,216.53 139.61,216.67 139.90,216.80 140.18,216.94 140.47,217.07 140.75,216.35 141.04,216.48 141.32,216.62 141.61,216.75 141.89,216.88 142.17,216.17 142.46,215.46 142.74,215.60 143.03,215.73 143.31,215.86 143.60,215.99 143.88,216.13 144.17,215.43 144.45,215.56 144.74,215.70 145.02,215.01 145.31,215.14 145.59,215.27 145.88,215.40 146.16,215.53 146.44,215.66 146.73,215.79 147.01,215.92 147.30,216.04 147.58,216.17 147.87,216.30 148.15,216.42 148.44,216.54 148.72,216.67 149.01,216.79 149.29,216.13 149.58,216.25 149.86,216.38 150.14,216.50 150.43,216.62 150.71,216.74 151.00,216.86 151.28,216.98 151.57,217.09 151.85,217.21 152.14,217.33 152.42,217.44 152.71,217.56 152.99,217.67 153.28,217.79 153.56,217.90 153.85,218.01 154.13,218.13 154.41,218.24 154.70,218.35 154.98,218.46 155.27,218.57 155.55,218.68 155.84,218.79 156.12,218.89 156.41,219.00 156.69,219.11 156.98,219.21 157.26,219.32 157.55,219.42 157.83,219.53 158.11,219.63 158.40,219.74 158.68,219.84 158.97,219.94 159.25,220.04 159.54,220.14 159.82,220.24 160.11,219.64 160.39,219.74 160.68,219.15 160.96,219.25 161.25,218.66 161.53,218.76 161.82,218.17 162.10,218.28 162.38,218.38 162.67,218.48 162.95,218.58 163.24,218.68 163.52,218.78 163.81,218.88 164.09,218.98 164.38,219.08 164.66,219.18 164.95,219.28 165.23,219.38 165.52,219.48 165.80,219.57 166.08,219.00 166.37,219.10 166.65,219.20 166.94,219.30 167.22,219.39 167.51,219.49 167.79,219.58 168.08,219.68 168.36,219.77 168.65,219.86 168.93,219.96 169.22,220.05 169.50,219.50 169.79,218.95 170.07,218.40 170.35,218.50 170.64,218.59 170.92,218.05 171.21,217.51 171.49,217.61 171.78,217.71 172.06,217.80 172.35,217.90 172.63,217.99 172.92,218.09 173.20,217.56 173.49,217.03 173.77,217.13 174.05,216.60 174.34,216.70 174.62,216.80 174.91,216.89 175.19,216.99 175.48,217.08 175.76,217.18 176.05,217.27 176.33,217.36 176.62,217.46 176.90,217.55 177.19,217.64 177.47,217.73 177.76,217.22 178.04,217.32 178.32,217.41 178.61,217.50 178.89,217.59 179.18,217.68 179.46,217.77 179.75,217.86 180.03,217.95 180.32,217.45 180.60,217.54 180.89,217.63 181.17,217.72 181.46,217.23 181.74,216.73 182.02,216.24 182.31,216.33 182.59,215.85 182.88,215.94 183.16,216.03 183.45,216.12 183.73,216.21 184.02,216.30 184.30,216.39 184.59,216.48 184.87,216.00 185.16,216.09 185.44,216.18 185.73,216.27 186.01,216.36 186.29,216.45 186.58,216.54 186.86,216.62 187.15,216.71 187.43,216.80 187.72,216.89 188.00,216.97 188.29,216.50 188.57,216.59 188.86,216.68 189.14,216.21 189.43,216.30 189.71,216.39 189.99,216.47 190.28,216.56 190.56,216.64 190.85,216.73 191.13,216.81 191.42,216.90 191.70,216.98 191.99,217.06 192.27,217.15 192.56,217.23 192.84,216.78 193.13,216.86 193.41,216.94 193.70,217.02 193.98,217.11 194.26,217.19 194.55,217.27 194.83,217.35 195.12,217.43 195.40,216.99 195.69,216.54 195.97,216.63 196.26,216.71 196.54,216.79 196.83,216.87 197.11,216.95 197.40,217.03 197.68,217.11 197.96,217.19 198.25,217.27 198.53,217.35 198.82,217.43 199.10,217.51 199.39,217.07 199.67,217.15 199.96,217.23 200.24,217.31 200.53,217.39 200.81,217.47 201.10,217.04 201.38,217.12 201.66,217.19 201.95,217.27 202.23,217.35 202.52,217.42 202.80,217.50 203.09,217.58 203.37,217.65 203.66,217.73 203.94,217.80 204.23,217.88 204.51,217.95 204.80,218.03 205.08,218.10 205.37,218.18 205.65,218.25 205.93,218.32 206.22,218.40 206.50,218.47 206.79,218.54 207.07,218.62 207.36,218.20 207.64,218.28 207.93,218.35 208.21,217.94 208.50,218.01 208.78,218.08 209.07,218.16 209.35,217.75 209.63,217.82 209.92,217.89 210.20,217.97 210.49,218.04 210.77,218.11 211.06,218.18 211.34,218.25 211.63,218.32 211.91,218.39 212.20,218.46 212.48,218.53 212.77,218.60 213.05,218.67 213.34,218.74 213.62,218.81 213.90,218.88 214.19,218.95 214.47,219.02 214.76,219.08 215.04,219.15 215.33,219.22 215.61,219.29 215.90,218.90 216.18,218.96 216.47,219.03 216.75,219.10 217.04,219.16 217.32,219.23 217.60,219.30 217.89,219.36 218.17,219.43 218.46,219.50 218.74,219.56 219.03,219.63 219.31,219.69 219.60,219.76 219.88,219.82 220.17,219.89 220.45,219.95 220.74,220.01 221.02,219.63 221.31,219.25 221.59,219.32 221.87,218.94 222.16,219.00 222.44,219.07 222.73,219.13 223.01,219.20 223.30,219.26 223.58,219.33 223.87,219.39 224.15,219.46 224.44,219.52 224.72,219.58 225.01,219.21 225.29,219.27 225.57,219.34 225.86,219.40 226.14,219.46 226.43,219.09 226.71,219.16 227.00,219.22 227.28,218.85 227.57,218.92 227.85,218.98 228.14,219.04 228.42,219.11 228.71,218.74 228.99,218.81 229.28,218.45 229.56,218.51 229.84,218.57 230.13,218.63 230.41,218.70 230.70,218.76 230.98,218.82 231.27,218.88 231.55,218.95 231.84,219.01 232.12,219.07 232.41,219.13 232.69,219.19 232.98,219.25 233.26,218.90 233.54,218.96 233.83,219.02 234.11,219.08 234.40,219.14 234.68,219.20 234.97,219.26 235.25,219.32 235.54,219.38 235.82,219.03 236.11,219.09 236.39,219.15 236.68,219.21 236.96,219.27 237.25,219.33 237.53,219.39 237.81,219.45 238.10,219.51 238.38,219.57 238.67,219.22 238.95,219.28 239.24,219.34 239.52,219.40 239.81,219.46 240.09,219.51 240.38,219.57 240.66,219.63 240.95,219.69 241.23,219.74 241.51,219.80 241.80,219.86 242.08,219.92 242.37,219.97 242.65,219.64 242.94,219.69 243.22,219.75 243.51,219.81 243.79,219.86 244.08,219.92 244.36,219.97 244.65,220.03 244.93,220.09 245.22,220.14 245.50,220.20 245.78,220.25 246.07,220.31 246.35,220.36 246.64,220.42 246.92,220.47 247.21,220.53 247.49,220.20 247.78,220.25 248.06,219.92 248.35,219.98 248.63,220.03 248.92,220.09 249.20,220.14 249.48,220.20 249.77,220.25 250.05,220.30 250.34,219.98 250.62,220.03 250.91,220.09 251.19,220.14 251.48,220.20 251.76,220.25 252.05,220.30 252.33,220.36 252.62,220.41 252.90,220.46 253.19,220.52 253.47,220.57 253.75,220.62 254.04,220.30 254.32,220.35 254.61,220.41 254.89,220.46 255.18,220.51 255.46,220.56 255.75,220.62 256.03,220.67 256.32,220.72 256.60,220.77 256.89,220.82 257.17,220.87 257.45,220.92 257.74,220.98 258.02,221.03 258.31,221.08 258.59,221.13 258.88,221.18 259.16,221.23 259.45,220.92 259.73,220.97 260.02,221.02 260.30,220.71 260.59,220.76 260.87,220.81 261.16,220.86 261.44,220.91 261.72,220.96 262.01,221.01 262.29,220.70 262.58,220.75 262.86,220.80 263.15,220.85 263.43,220.90 263.72,220.95 264.00,221.00 264.29,221.05 264.57,221.10 264.86,221.15 265.14,221.20 265.42,221.25 265.71,221.30 265.99,221.34 266.28,221.39 266.56,221.44 266.85,221.14 267.13,221.19 267.42,221.24 267.70,221.29 267.99,221.33 268.27,221.38 268.56,221.43 268.84,221.48 269.13,221.52 269.41,221.57 269.69,221.62 269.98,221.67 270.26,221.71 270.55,221.76 270.83,221.46 271.12,221.51 271.40,221.56 271.69,221.61 271.97,221.65 272.26,221.70 272.54,221.75 272.83,221.79 273.11,221.84 273.39,221.88 273.68,221.59 273.96,221.64 274.25,221.69 274.53,221.73 274.82,221.78 275.10,221.82 275.39,221.87 275.67,221.91 275.96,221.96 276.24,222.01 276.53,222.05 276.81,222.10 277.10,222.14 277.38,222.19 277.66,221.90 277.95,221.94 278.23,221.99 278.52,222.03 278.80,221.75 279.09,221.46 279.37,221.51 279.66,221.55 279.94,221.27 280.23,221.32 280.51,221.36 280.80,221.41 281.08,221.12 281.36,221.17 281.65,221.22 281.93,220.93 282.22,220.98 282.50,221.03 282.79,221.07 283.07,220.79 283.36,220.84 283.64,220.88 283.93,220.93 284.21,220.97 284.50,221.02 284.78,221.06 285.06,221.11 285.35,221.15 285.63,221.20 285.92,221.24 286.20,220.97 286.49,221.01 286.77,220.74 287.06,220.78 287.34,220.82 287.63,220.55 287.91,220.28 288.20,220.32 288.48,220.05 288.77,220.10 289.05,220.14 289.33,220.19 289.62,220.23 289.90,220.28 290.19,220.32 290.47,220.37 290.76,220.41 291.04,220.14 291.33,220.19 291.61,220.23 291.90,220.28 292.18,220.01 292.47,220.05 292.75,220.10 293.03,220.14 293.32,220.19 293.60,220.23 293.89,220.27 294.17,220.32 294.46,220.36 294.74,220.41 295.03,220.14 295.31,220.19 295.60,220.23 295.88,220.27 296.17,220.32 296.45,220.36 296.74,220.40 297.02,220.45 297.30,220.49 297.59,220.53 297.87,220.58 298.16,220.62 298.44,220.66 298.73,220.71 299.01,220.75 299.30,220.79 299.58,220.83 299.87,220.88 300.15,220.92 300.44,220.96 300.72,221.00 301.00,221.04 301.29,221.09 301.57,221.13 301.86,221.17 302.14,221.21 302.43,221.25 302.71,221.30 303.00,221.04 303.28,221.08 303.57,221.12 303.85,221.16 304.14,221.20 304.42,220.95 304.71,220.99 304.99,221.03 305.27,221.07 305.56,221.11 305.84,221.15 306.13,221.20 306.41,221.24 306.70,221.28 306.98,221.32 307.27,221.36 307.55,221.40 307.84,221.15 308.12,221.19 308.41,220.94 308.69,220.68 308.97,220.43 309.26,220.47 309.54,220.23 309.83,220.27 310.11,220.31 310.40,220.35 310.68,220.39 310.97,220.43 311.25,220.47 311.54,220.51 311.82,220.27 312.11,220.31 312.39,220.35 312.68,220.39 312.96,220.43 313.24,220.47 313.53,220.51 313.81,220.55 314.10,220.59 314.38,220.63 314.67,220.67 314.95,220.71 315.24,220.75 315.52,220.79 315.81,220.83 316.09,220.87 316.38,220.91 316.66,220.67 316.94,220.71 317.23,220.75 317.51,220.79 317.80,220.83 318.08,220.87 318.37,220.91 318.65,220.94 318.94,220.98 319.22,221.02 319.51,221.06 319.79,220.82 320.08,220.86 320.36,220.90 320.65,220.94 320.93,220.98 321.21,220.74 321.50,220.78 321.78,220.82 322.07,220.86 322.35,220.89 322.64,220.93 322.92,220.97 323.21,221.01 323.49,221.05 323.78,221.09 324.06,220.85 324.35,220.89 324.63,220.93 324.91,220.69 325.20,220.46 325.48,220.49 325.77,220.53 326.05,220.57 326.34,220.61 326.62,220.38 326.91,220.41 327.19,220.45 327.48,220.49 327.76,220.26 328.05,220.30 328.33,220.34 328.62,220.37 328.90,220.41 329.18,220.45 329.47,220.22 329.75,220.26 330.04,220.30 330.32,220.33 330.61,220.37 330.89,220.41 331.18,220.45 331.46,220.49 331.75,220.52 332.03,220.56 332.32,220.60 332.60,220.64 332.88,220.68 333.17,220.71 333.45,220.75 333.74,220.79 334.02,220.82 334.31,220.86 334.59,220.90 334.88,220.94 335.16,220.97 335.45,220.75 335.73,220.78 336.02,220.82 336.30,220.86 336.59,220.63 336.87,220.40 337.15,220.44 337.44,220.48 337.72,220.52 338.01,220.55 338.29,220.59 338.58,220.63 338.86,220.66 339.15,220.44 ' style='stroke-width: 1.07; stroke: #00BF7D; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='54.79,170.37 55.07,126.82 55.36,152.95 55.64,126.82 55.93,145.49 56.21,159.48 56.50,141.34 56.78,152.95 57.07,162.45 57.35,170.37 57.64,156.97 57.92,145.49 58.21,152.95 58.49,159.48 58.77,149.88 59.06,155.85 59.34,161.20 59.63,152.95 59.91,157.93 60.20,162.45 60.48,155.22 60.77,159.48 61.05,163.40 61.34,156.97 61.62,160.69 61.91,164.15 62.19,158.36 62.48,152.95 62.76,156.32 63.04,159.48 63.33,154.54 63.61,157.56 63.90,152.95 64.18,155.85 64.47,158.60 64.75,161.20 65.04,163.67 65.32,166.02 65.61,168.25 65.89,170.37 66.18,172.40 66.46,174.33 66.74,170.37 67.03,166.58 67.31,162.96 67.60,164.93 67.88,161.48 68.17,163.40 68.45,160.12 68.74,156.97 69.02,153.94 69.31,151.02 69.59,152.95 69.88,150.15 70.16,147.45 70.45,149.35 70.73,146.75 71.01,148.60 71.30,146.10 71.58,143.68 71.87,145.49 72.15,147.24 72.44,144.91 72.72,142.66 73.01,144.37 73.29,146.04 73.58,147.65 73.86,145.49 74.15,147.06 74.43,144.97 74.71,146.51 75.00,148.01 75.28,145.98 75.57,144.01 75.85,145.49 76.14,146.92 76.42,145.01 76.71,146.42 76.99,147.79 77.28,149.13 77.56,150.43 77.85,151.71 78.13,149.88 78.42,148.09 78.70,149.35 78.98,150.58 79.27,148.84 79.55,150.05 79.84,148.36 80.12,149.54 80.41,147.89 80.69,146.28 80.98,144.70 81.26,145.87 81.55,144.33 81.83,145.49 82.12,146.62 82.40,147.73 82.68,146.23 82.97,144.75 83.25,145.85 83.54,146.92 83.82,145.49 84.11,144.08 84.39,145.14 84.68,143.76 84.96,144.80 85.25,145.83 85.53,144.48 85.82,145.49 86.10,146.48 86.39,147.45 86.67,146.14 86.95,144.84 87.24,143.57 87.52,144.54 87.81,143.29 88.09,144.24 88.38,143.02 88.66,143.96 88.95,144.88 89.23,143.68 89.52,142.50 89.80,143.41 90.09,142.25 90.37,143.15 90.65,144.04 90.94,144.91 91.22,145.77 91.51,146.62 91.79,147.45 92.08,148.27 92.36,149.08 92.65,149.88 92.93,150.66 93.22,149.54 93.50,150.32 93.79,149.22 94.07,148.13 94.36,148.90 94.64,149.66 94.92,148.60 95.21,149.35 95.49,150.09 95.78,149.04 96.06,149.77 96.35,148.74 96.63,149.47 96.92,148.45 97.20,149.17 97.49,148.17 97.77,148.88 98.06,149.58 98.34,150.27 98.62,149.29 98.91,149.97 99.19,150.65 99.48,151.32 99.76,150.35 100.05,151.02 100.33,151.67 100.62,150.72 100.90,151.37 101.19,150.43 101.47,151.07 101.76,151.71 102.04,152.33 102.33,152.95 102.61,152.03 102.89,152.65 103.18,151.74 103.46,150.85 103.75,149.97 104.03,149.09 104.32,149.70 104.60,150.31 104.89,150.91 105.17,151.50 105.46,150.64 105.74,151.23 106.03,150.38 106.31,149.54 106.59,150.13 106.88,149.30 107.16,149.88 107.45,150.45 107.73,151.02 108.02,151.58 108.30,152.13 108.59,152.68 108.87,151.87 109.16,152.41 109.44,152.95 109.73,153.48 110.01,152.69 110.30,153.22 110.58,152.43 110.86,152.95 111.15,153.47 111.43,153.99 111.72,154.50 112.00,153.72 112.29,154.23 112.57,153.46 112.86,152.70 113.14,153.20 113.43,153.70 113.71,154.20 114.00,154.69 114.28,155.17 114.56,155.65 114.85,156.13 115.13,155.38 115.42,155.85 115.70,156.32 115.99,156.79 116.27,157.25 116.56,157.70 116.84,158.15 117.13,157.42 117.41,156.70 117.70,157.15 117.98,157.60 118.26,158.04 118.55,158.48 118.83,157.77 119.12,157.06 119.40,156.36 119.69,155.67 119.97,156.11 120.26,155.42 120.54,155.85 120.83,155.18 121.11,154.50 121.40,154.94 121.68,154.27 121.97,154.70 122.25,155.13 122.53,155.55 122.82,155.97 123.10,155.32 123.39,155.74 123.67,155.08 123.96,154.44 124.24,153.80 124.53,154.22 124.81,154.63 125.10,154.00 125.38,154.41 125.67,154.82 125.95,155.22 126.23,154.60 126.52,155.00 126.80,155.40 127.09,154.78 127.37,155.18 127.66,154.57 127.94,154.96 128.23,155.35 128.51,155.74 128.80,156.13 129.08,155.53 129.37,155.91 129.65,155.31 129.94,154.71 130.22,155.10 130.50,154.51 130.79,153.92 131.07,154.30 131.36,154.68 131.64,155.06 131.93,155.43 132.21,154.85 132.50,155.22 132.78,155.59 133.07,155.02 133.35,155.39 133.64,155.75 133.92,156.11 134.20,156.47 134.49,156.83 134.77,157.18 135.06,157.54 135.34,156.97 135.63,157.32 135.91,156.76 136.20,157.11 136.48,157.46 136.77,157.80 137.05,158.14 137.34,157.59 137.62,157.93 137.91,157.38 138.19,157.72 138.47,157.17 138.76,157.51 139.04,157.85 139.33,157.31 139.61,157.64 139.90,157.10 140.18,156.57 140.47,156.05 140.75,156.38 141.04,155.85 141.32,156.19 141.61,156.51 141.89,156.84 142.17,157.17 142.46,156.65 142.74,156.13 143.03,156.46 143.31,156.78 143.60,157.10 143.88,156.59 144.17,156.08 144.45,156.40 144.74,156.72 145.02,157.03 145.31,156.53 145.59,156.04 145.88,156.35 146.16,155.85 146.44,155.36 146.73,155.68 147.01,155.99 147.30,155.50 147.58,155.81 147.87,156.12 148.15,155.64 148.44,155.94 148.72,155.46 149.01,154.99 149.29,154.51 149.58,154.04 149.86,154.35 150.14,153.88 150.43,154.18 150.71,154.49 151.00,154.79 151.28,154.33 151.57,154.63 151.85,154.17 152.14,154.47 152.42,154.76 152.71,154.31 152.99,154.60 153.28,154.90 153.56,155.19 153.85,154.74 154.13,155.03 154.41,155.32 154.70,155.61 154.98,155.90 155.27,155.45 155.55,155.73 155.84,155.29 156.12,154.84 156.41,154.40 156.69,153.97 156.98,153.53 157.26,153.82 157.55,154.10 157.83,154.38 158.11,154.67 158.40,154.95 158.68,155.22 158.97,155.50 159.25,155.78 159.54,156.05 159.82,156.32 160.11,156.59 160.39,156.86 160.68,157.13 160.96,157.40 161.25,156.97 161.53,156.55 161.82,156.81 162.10,157.08 162.38,157.34 162.67,157.60 162.95,157.86 163.24,158.12 163.52,158.38 163.81,158.64 164.09,158.89 164.38,159.15 164.66,158.73 164.95,158.98 165.23,159.23 165.52,159.48 165.80,159.73 166.08,159.98 166.37,160.23 166.65,159.81 166.94,159.40 167.22,159.65 167.51,159.89 167.79,160.14 168.08,160.38 168.36,160.62 168.65,160.21 168.93,160.45 169.22,160.69 169.50,160.93 169.79,160.53 170.07,160.76 170.35,161.00 170.64,160.60 170.92,160.84 171.21,161.07 171.49,160.67 171.78,160.90 172.06,161.14 172.35,160.74 172.63,160.35 172.92,159.95 173.20,160.19 173.49,160.42 173.77,160.03 174.05,159.64 174.34,159.87 174.62,160.10 174.91,160.33 175.19,159.94 175.48,159.56 175.76,159.79 176.05,160.02 176.33,159.64 176.62,159.86 176.90,160.09 177.19,159.71 177.47,159.33 177.76,159.56 178.04,159.78 178.32,160.01 178.61,160.23 178.89,160.45 179.18,160.08 179.46,160.30 179.75,160.52 180.03,160.74 180.32,160.96 180.60,161.17 180.89,161.39 181.17,161.60 181.46,161.23 181.74,160.87 182.02,160.50 182.31,160.72 182.59,160.93 182.88,160.57 183.16,160.20 183.45,160.42 183.73,160.06 184.02,160.27 184.30,160.48 184.59,160.69 184.87,160.90 185.16,161.11 185.44,161.32 185.73,161.53 186.01,161.17 186.29,161.38 186.58,161.03 186.86,161.23 187.15,161.44 187.43,161.09 187.72,160.73 188.00,160.39 188.29,160.59 188.57,160.80 188.86,161.00 189.14,161.20 189.43,160.86 189.71,161.06 189.99,161.26 190.28,160.92 190.56,160.57 190.85,160.23 191.13,159.89 191.42,160.09 191.70,159.75 191.99,159.42 192.27,159.62 192.56,159.82 192.84,160.02 193.13,160.22 193.41,160.42 193.70,160.61 193.98,160.81 194.26,160.48 194.55,160.67 194.83,160.87 195.12,160.54 195.40,160.73 195.69,160.40 195.97,160.60 196.26,160.79 196.54,160.46 196.83,160.66 197.11,160.33 197.40,160.52 197.68,160.71 197.96,160.90 198.25,161.09 198.53,161.28 198.82,160.96 199.10,160.64 199.39,160.83 199.67,161.02 199.96,161.20 200.24,161.39 200.53,161.58 200.81,161.76 201.10,161.95 201.38,161.63 201.66,161.81 201.95,162.00 202.23,161.68 202.52,161.86 202.80,161.54 203.09,161.73 203.37,161.41 203.66,161.60 203.94,161.28 204.23,160.97 204.51,161.15 204.80,160.84 205.08,160.53 205.37,160.71 205.65,160.89 205.93,161.07 206.22,161.25 206.50,161.43 206.79,161.13 207.07,161.31 207.36,161.48 207.64,161.18 207.93,161.36 208.21,161.53 208.50,161.71 208.78,161.89 209.07,162.06 209.35,162.24 209.63,162.41 209.92,162.11 210.20,161.80 210.49,161.98 210.77,161.68 211.06,161.85 211.34,161.55 211.63,161.25 211.91,161.43 212.20,161.60 212.48,161.77 212.77,161.47 213.05,161.65 213.34,161.82 213.62,161.99 213.90,162.16 214.19,162.33 214.47,162.50 214.76,162.20 215.04,161.91 215.33,162.08 215.61,162.24 215.90,161.95 216.18,162.12 216.47,161.83 216.75,161.54 217.04,161.71 217.32,161.87 217.60,161.59 217.89,161.75 218.17,161.92 218.46,161.63 218.74,161.80 219.03,161.51 219.31,161.68 219.60,161.39 219.88,161.11 220.17,160.83 220.45,160.54 220.74,160.71 221.02,160.88 221.31,161.04 221.59,160.76 221.87,160.48 222.16,160.20 222.44,160.37 222.73,160.53 223.01,160.25 223.30,160.42 223.58,160.14 223.87,159.87 224.15,160.03 224.44,160.19 224.72,160.36 225.01,160.52 225.29,160.24 225.57,160.40 225.86,160.13 226.14,160.29 226.43,160.45 226.71,160.18 227.00,159.91 227.28,160.07 227.57,159.81 227.85,159.54 228.14,159.70 228.42,159.86 228.71,160.02 228.99,159.75 229.28,159.91 229.56,159.64 229.84,159.38 230.13,159.54 230.41,159.69 230.70,159.85 230.98,160.01 231.27,160.17 231.55,160.32 231.84,160.48 232.12,160.63 232.41,160.37 232.69,160.52 232.98,160.68 233.26,160.83 233.54,160.99 233.83,160.72 234.11,160.88 234.40,161.03 234.68,161.18 234.97,161.33 235.25,161.48 235.54,161.22 235.82,160.97 236.11,161.12 236.39,161.27 236.68,161.42 236.96,161.57 237.25,161.72 237.53,161.86 237.81,162.01 238.10,162.16 238.38,162.31 238.67,162.45 238.95,162.60 239.24,162.75 239.52,162.89 239.81,163.04 240.09,163.18 240.38,163.32 240.66,163.47 240.95,163.61 241.23,163.36 241.51,163.50 241.80,163.25 242.08,163.39 242.37,163.14 242.65,162.88 242.94,162.63 243.22,162.77 243.51,162.92 243.79,162.67 244.08,162.81 244.36,162.95 244.65,162.70 244.93,162.45 245.22,162.59 245.50,162.74 245.78,162.49 246.07,162.63 246.35,162.77 246.64,162.91 246.92,163.05 247.21,163.19 247.49,163.33 247.78,163.46 248.06,163.60 248.35,163.36 248.63,163.11 248.92,162.87 249.20,163.01 249.48,163.14 249.77,162.90 250.05,163.04 250.34,163.18 250.62,163.31 250.91,163.45 251.19,163.21 251.48,163.34 251.76,163.48 252.05,163.24 252.33,163.37 252.62,163.51 252.90,163.64 253.19,163.40 253.47,163.54 253.75,163.67 254.04,163.80 254.32,163.57 254.61,163.70 254.89,163.83 255.18,163.60 255.46,163.36 255.75,163.49 256.03,163.62 256.32,163.76 256.60,163.89 256.89,164.02 257.17,164.15 257.45,164.28 257.74,164.05 258.02,163.81 258.31,163.94 258.59,164.07 258.88,163.84 259.16,163.97 259.45,164.10 259.73,164.23 260.02,164.36 260.30,164.48 260.59,164.61 260.87,164.74 261.16,164.87 261.44,164.64 261.72,164.41 262.01,164.18 262.29,164.30 262.58,164.43 262.86,164.56 263.15,164.33 263.43,164.45 263.72,164.58 264.00,164.35 264.29,164.48 264.57,164.25 264.86,164.38 265.14,164.50 265.42,164.63 265.71,164.40 265.99,164.18 266.28,164.30 266.56,164.42 266.85,164.20 267.13,164.32 267.42,164.10 267.70,163.88 267.99,164.00 268.27,164.13 268.56,164.25 268.84,164.37 269.13,164.50 269.41,164.62 269.69,164.40 269.98,164.17 270.26,164.30 270.55,164.08 270.83,164.20 271.12,164.32 271.40,164.44 271.69,164.56 271.97,164.69 272.26,164.81 272.54,164.59 272.83,164.71 273.11,164.83 273.39,164.61 273.68,164.39 273.96,164.51 274.25,164.63 274.53,164.75 274.82,164.87 275.10,164.65 275.39,164.77 275.67,164.89 275.96,164.68 276.24,164.46 276.53,164.25 276.81,164.03 277.10,163.82 277.38,163.94 277.66,164.06 277.95,164.17 278.23,163.96 278.52,163.75 278.80,163.87 279.09,163.98 279.37,164.10 279.66,163.89 279.94,164.01 280.23,163.80 280.51,163.59 280.80,163.38 281.08,163.50 281.36,163.61 281.65,163.73 281.93,163.85 282.22,163.64 282.50,163.43 282.79,163.55 283.07,163.34 283.36,163.46 283.64,163.57 283.93,163.69 284.21,163.48 284.50,163.60 284.78,163.39 285.06,163.18 285.35,163.30 285.63,163.42 285.92,163.53 286.20,163.65 286.49,163.44 286.77,163.56 287.06,163.67 287.34,163.47 287.63,163.58 287.91,163.38 288.20,163.17 288.48,162.97 288.77,163.09 289.05,163.20 289.33,163.32 289.62,163.43 289.90,163.54 290.19,163.34 290.47,163.45 290.76,163.57 291.04,163.68 291.33,163.79 291.61,163.59 291.90,163.70 292.18,163.50 292.47,163.62 292.75,163.73 293.03,163.53 293.32,163.64 293.60,163.75 293.89,163.86 294.17,163.97 294.46,164.08 294.74,164.19 295.03,164.30 295.31,164.41 295.60,164.22 295.88,164.33 296.17,164.13 296.45,164.24 296.74,164.35 297.02,164.15 297.30,163.95 297.59,163.76 297.87,163.87 298.16,163.98 298.44,163.78 298.73,163.59 299.01,163.69 299.30,163.50 299.58,163.61 299.87,163.42 300.15,163.22 300.44,163.03 300.72,162.84 301.00,162.95 301.29,163.05 301.57,162.86 301.86,162.97 302.14,163.08 302.43,162.89 302.71,163.00 303.00,163.10 303.28,162.91 303.57,162.72 303.85,162.83 304.14,162.94 304.42,163.05 304.71,163.15 304.99,163.26 305.27,163.37 305.56,163.47 305.84,163.29 306.13,163.39 306.41,163.50 306.70,163.60 306.98,163.71 307.27,163.52 307.55,163.63 307.84,163.73 308.12,163.54 308.41,163.65 308.69,163.75 308.97,163.86 309.26,163.96 309.54,164.07 309.83,163.88 310.11,163.98 310.40,163.80 310.68,163.61 310.97,163.43 311.25,163.24 311.54,163.06 311.82,162.87 312.11,162.69 312.39,162.79 312.68,162.90 312.96,163.00 313.24,162.82 313.53,162.92 313.81,162.74 314.10,162.56 314.38,162.66 314.67,162.76 314.95,162.87 315.24,162.69 315.52,162.51 315.81,162.61 316.09,162.71 316.38,162.81 316.66,162.63 316.94,162.45 317.23,162.56 317.51,162.66 317.80,162.76 318.08,162.86 318.37,162.68 318.65,162.79 318.94,162.61 319.22,162.71 319.51,162.81 319.79,162.63 320.08,162.45 320.36,162.55 320.65,162.66 320.93,162.76 321.21,162.86 321.50,162.68 321.78,162.50 322.07,162.60 322.35,162.43 322.64,162.25 322.92,162.08 323.21,161.90 323.49,162.00 323.78,162.10 324.06,162.20 324.35,162.30 324.63,162.40 324.91,162.23 325.20,162.05 325.48,161.88 325.77,161.98 326.05,161.81 326.34,161.91 326.62,162.01 326.91,162.11 327.19,161.93 327.48,162.03 327.76,161.86 328.05,161.69 328.33,161.79 328.62,161.89 328.90,161.72 329.18,161.81 329.47,161.64 329.75,161.74 330.04,161.84 330.32,161.94 330.61,162.04 330.89,162.14 331.18,162.23 331.46,162.33 331.75,162.43 332.03,162.53 332.32,162.36 332.60,162.19 332.88,162.28 333.17,162.38 333.45,162.21 333.74,162.04 334.02,162.14 334.31,161.97 334.59,162.07 334.88,162.16 335.16,162.26 335.45,162.09 335.73,162.19 336.02,162.02 336.30,161.85 336.59,161.95 336.87,162.05 337.15,162.14 337.44,162.24 337.72,162.33 338.01,162.43 338.29,162.52 338.58,162.62 338.86,162.71 339.15,162.81 ' style='stroke-width: 1.07; stroke: #00B0F6; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='54.79,170.37 55.07,126.82 55.36,100.69 55.64,83.27 55.93,70.83 56.21,94.16 56.50,83.27 56.78,100.69 57.07,91.19 57.35,83.27 57.64,76.57 57.92,70.83 58.21,65.85 58.49,77.83 58.77,88.40 59.06,83.27 59.34,92.44 59.63,87.63 59.91,83.27 60.20,79.31 60.48,87.06 60.77,83.27 61.05,90.24 61.34,86.62 61.62,83.27 61.91,80.16 62.19,86.28 62.48,83.27 62.76,80.46 63.04,77.83 63.33,83.27 63.61,80.71 63.90,78.30 64.18,76.01 64.47,73.86 64.75,78.69 65.04,76.57 65.32,74.56 65.61,79.02 65.89,77.05 66.18,75.17 66.46,79.31 66.74,83.27 67.03,81.38 67.31,79.57 67.60,83.27 67.88,86.83 68.17,85.01 68.45,88.40 68.74,91.65 69.02,89.85 69.31,88.11 69.59,86.44 69.88,84.83 70.16,83.27 70.45,81.77 70.73,84.75 71.01,83.27 71.30,86.13 71.58,88.89 71.87,87.42 72.15,85.99 72.44,84.61 72.72,83.27 73.01,85.87 73.29,84.55 73.58,83.27 73.86,85.76 74.15,84.50 74.43,86.90 74.71,85.66 75.00,87.98 75.28,86.76 75.57,85.57 75.85,87.80 76.14,86.62 76.42,88.79 76.71,90.89 76.99,89.72 77.28,88.58 77.56,87.47 77.85,86.38 78.13,85.32 78.42,84.29 78.70,83.27 78.98,82.28 79.27,81.32 79.55,83.27 79.84,82.32 80.12,81.38 80.41,80.46 80.69,79.57 80.98,78.69 81.26,80.55 81.55,79.68 81.83,78.83 82.12,80.63 82.40,79.79 82.68,81.55 82.97,83.27 83.25,82.43 83.54,84.11 83.82,83.27 84.11,84.92 84.39,84.09 84.68,83.27 84.96,82.47 85.25,84.06 85.53,83.27 85.82,82.50 86.10,84.04 86.39,85.57 86.67,87.06 86.95,88.53 87.24,87.74 87.52,86.96 87.81,86.20 88.09,87.63 88.38,86.87 88.66,86.13 88.95,85.40 89.23,84.68 89.52,83.97 89.80,85.35 90.09,84.64 90.37,83.95 90.65,83.27 90.94,84.61 91.22,83.94 91.51,85.25 91.79,84.58 92.08,83.92 92.36,83.27 92.65,82.63 92.93,82.00 93.22,81.38 93.50,80.77 93.79,80.16 94.07,79.57 94.36,78.98 94.64,78.40 94.92,77.83 95.21,77.27 95.49,76.71 95.78,76.16 96.06,77.39 96.35,78.60 96.63,78.05 96.92,77.50 97.20,76.97 97.49,76.44 97.77,77.62 98.06,77.09 98.34,76.57 98.62,77.73 98.91,78.86 99.19,78.34 99.48,79.46 99.76,80.57 100.05,80.05 100.33,79.53 100.62,79.02 100.90,80.11 101.19,81.17 101.47,80.67 101.76,80.16 102.04,79.67 102.33,79.17 102.61,80.22 102.89,79.73 103.18,80.76 103.46,80.27 103.75,81.28 104.03,82.28 104.32,81.80 104.60,82.78 104.89,83.76 105.17,83.27 105.46,84.24 105.74,83.75 106.03,83.27 106.31,84.22 106.59,83.74 106.88,83.27 107.16,84.20 107.45,83.74 107.73,84.66 108.02,84.19 108.30,83.73 108.59,83.27 108.87,82.82 109.16,83.72 109.44,84.61 109.73,84.16 110.01,85.04 110.30,85.91 110.58,86.77 110.86,86.32 111.15,87.17 111.43,86.72 111.72,86.28 112.00,85.83 112.29,85.40 112.57,84.96 112.86,85.80 113.14,86.62 113.43,86.19 113.71,87.01 114.00,86.58 114.28,86.15 114.56,86.95 114.85,86.53 115.13,86.11 115.42,85.69 115.70,85.28 115.99,84.87 116.27,84.47 116.56,85.25 116.84,84.85 117.13,85.63 117.41,85.23 117.70,84.83 117.98,84.43 118.26,84.04 118.55,84.81 118.83,85.57 119.12,86.32 119.40,85.92 119.69,85.54 119.97,86.28 120.26,87.01 120.54,86.62 120.83,86.24 121.11,85.86 121.40,85.48 121.68,85.10 121.97,84.73 122.25,84.36 122.53,85.08 122.82,85.79 123.10,85.42 123.39,85.06 123.67,84.70 123.96,84.34 124.24,83.98 124.53,83.62 124.81,83.27 125.10,82.92 125.38,82.58 125.67,82.24 125.95,81.90 126.23,82.59 126.52,82.25 126.80,81.91 127.09,81.58 127.37,82.26 127.66,82.94 127.94,82.60 128.23,83.27 128.51,82.94 128.80,82.61 129.08,82.28 129.37,81.96 129.65,81.64 129.94,82.29 130.22,81.97 130.50,81.65 130.79,81.34 131.07,81.02 131.36,80.71 131.64,80.40 131.93,80.09 132.21,79.79 132.50,80.43 132.78,80.13 133.07,79.83 133.35,79.53 133.64,80.16 133.92,79.86 134.20,79.57 134.49,80.20 134.77,79.90 135.06,80.52 135.34,80.23 135.63,79.93 135.91,79.64 136.20,79.36 136.48,79.97 136.77,79.68 137.05,79.40 137.34,80.00 137.62,79.72 137.91,79.43 138.19,79.15 138.47,78.87 138.76,78.60 139.04,78.32 139.33,78.92 139.61,78.64 139.90,79.24 140.18,79.82 140.47,79.55 140.75,79.28 141.04,79.00 141.32,79.58 141.61,79.31 141.89,79.04 142.17,79.62 142.46,79.35 142.74,79.09 143.03,78.82 143.31,79.39 143.60,79.13 143.88,79.69 144.17,80.25 144.45,79.99 144.74,80.54 145.02,81.10 145.31,80.83 145.59,80.57 145.88,80.31 146.16,80.85 146.44,81.40 146.73,81.14 147.01,80.88 147.30,80.62 147.58,81.16 147.87,80.90 148.15,80.64 148.44,81.17 148.72,80.92 149.01,80.67 149.29,80.41 149.58,80.16 149.86,79.91 150.14,79.67 150.43,79.42 150.71,79.17 151.00,79.70 151.28,79.45 151.57,79.97 151.85,80.49 152.14,81.00 152.42,81.51 152.71,82.02 152.99,82.52 153.28,82.27 153.56,82.03 153.85,81.78 154.13,81.54 154.41,81.30 154.70,81.06 154.98,81.56 155.27,81.32 155.55,81.08 155.84,80.84 156.12,81.33 156.41,81.10 156.69,81.58 156.98,81.35 157.26,81.11 157.55,80.88 157.83,81.36 158.11,81.13 158.40,80.90 158.68,80.67 158.97,80.44 159.25,80.21 159.54,79.99 159.82,79.76 160.11,79.54 160.39,79.31 160.68,79.09 160.96,78.87 161.25,78.65 161.53,79.13 161.82,78.91 162.10,78.69 162.38,78.47 162.67,78.94 162.95,78.72 163.24,78.51 163.52,78.97 163.81,78.76 164.09,78.55 164.38,79.01 164.66,79.47 164.95,79.92 165.23,79.71 165.52,79.50 165.80,79.95 166.08,79.74 166.37,79.52 166.65,79.31 166.94,79.10 167.22,78.90 167.51,78.69 167.79,78.48 168.08,78.28 168.36,78.07 168.65,77.87 168.93,77.67 169.22,77.47 169.50,77.91 169.79,77.71 170.07,77.51 170.35,77.31 170.64,77.75 170.92,78.19 171.21,77.99 171.49,77.79 171.78,78.22 172.06,78.03 172.35,77.83 172.63,77.63 172.92,77.44 173.20,77.87 173.49,77.67 173.77,77.48 174.05,77.29 174.34,77.10 174.62,76.90 174.91,76.71 175.19,76.53 175.48,76.34 175.76,76.15 176.05,75.96 176.33,75.78 176.62,76.20 176.90,76.62 177.19,76.43 177.47,76.25 177.76,76.06 178.04,75.88 178.32,75.70 178.61,75.52 178.89,75.34 179.18,75.16 179.46,74.98 179.75,74.80 180.03,75.21 180.32,75.62 180.60,75.44 180.89,75.27 181.17,75.09 181.46,74.91 181.74,74.74 182.02,74.56 182.31,74.39 182.59,74.79 182.88,75.20 183.16,75.02 183.45,74.85 183.73,74.68 184.02,74.51 184.30,74.91 184.59,74.73 184.87,74.56 185.16,74.39 185.44,74.79 185.73,74.62 186.01,74.45 186.29,74.28 186.58,74.68 186.86,74.51 187.15,74.34 187.43,74.73 187.72,74.56 188.00,74.40 188.29,74.23 188.57,74.07 188.86,73.90 189.14,73.74 189.43,74.12 189.71,73.96 189.99,73.80 190.28,73.64 190.56,74.02 190.85,73.86 191.13,73.70 191.42,73.54 191.70,73.38 191.99,73.76 192.27,74.13 192.56,73.97 192.84,73.81 193.13,73.65 193.41,74.03 193.70,73.87 193.98,73.71 194.26,74.09 194.55,73.93 194.83,73.77 195.12,73.61 195.40,73.98 195.69,73.83 195.97,74.20 196.26,74.04 196.54,74.41 196.83,74.77 197.11,74.62 197.40,74.46 197.68,74.30 197.96,74.15 198.25,74.00 198.53,73.84 198.82,73.69 199.10,73.54 199.39,73.39 199.67,73.24 199.96,73.60 200.24,73.44 200.53,73.29 200.81,73.15 201.10,73.00 201.38,72.85 201.66,72.70 201.95,72.55 202.23,72.91 202.52,73.26 202.80,73.11 203.09,72.97 203.37,73.32 203.66,73.17 203.94,73.52 204.23,73.87 204.51,73.72 204.80,74.07 205.08,73.92 205.37,73.78 205.65,73.63 205.93,73.98 206.22,74.32 206.50,74.17 206.79,74.03 207.07,73.88 207.36,73.74 207.64,73.60 207.93,73.45 208.21,73.79 208.50,73.65 208.78,73.99 209.07,73.84 209.35,73.70 209.63,73.56 209.92,73.90 210.20,73.75 210.49,74.09 210.77,73.95 211.06,74.28 211.34,74.14 211.63,74.00 211.91,73.86 212.20,73.72 212.48,74.05 212.77,73.91 213.05,73.77 213.34,74.10 213.62,73.96 213.90,74.28 214.19,74.15 214.47,74.01 214.76,74.33 215.04,74.66 215.33,74.52 215.61,74.38 215.90,74.24 216.18,74.56 216.47,74.88 216.75,74.75 217.04,75.06 217.32,74.93 217.60,75.24 217.89,75.11 218.17,74.97 218.46,75.29 218.74,75.60 219.03,75.46 219.31,75.33 219.60,75.64 219.88,75.95 220.17,75.82 220.45,75.68 220.74,75.54 221.02,75.85 221.31,75.72 221.59,76.03 221.87,75.89 222.16,75.76 222.44,76.06 222.73,76.37 223.01,76.23 223.30,76.10 223.58,75.97 223.87,75.83 224.15,75.70 224.44,75.57 224.72,75.43 225.01,75.30 225.29,75.17 225.57,75.04 225.86,74.91 226.14,74.78 226.43,74.65 226.71,74.52 227.00,74.39 227.28,74.26 227.57,74.56 227.85,74.86 228.14,74.73 228.42,74.61 228.71,74.48 228.99,74.35 229.28,74.22 229.56,74.10 229.84,73.97 230.13,73.85 230.41,73.72 230.70,73.60 230.98,73.47 231.27,73.35 231.55,73.22 231.84,73.10 232.12,73.39 232.41,73.27 232.69,73.15 232.98,73.44 233.26,73.73 233.54,73.61 233.83,73.49 234.11,73.78 234.40,73.66 234.68,73.53 234.97,73.82 235.25,74.11 235.54,73.99 235.82,73.87 236.11,73.75 236.39,73.63 236.68,73.50 236.96,73.79 237.25,73.67 237.53,73.55 237.81,73.43 238.10,73.31 238.38,73.19 238.67,73.07 238.95,73.36 239.24,73.24 239.52,73.12 239.81,73.40 240.09,73.28 240.38,73.57 240.66,73.45 240.95,73.33 241.23,73.21 241.51,73.49 241.80,73.38 242.08,73.65 242.37,73.93 242.65,73.81 242.94,73.70 243.22,73.58 243.51,73.86 243.79,74.13 244.08,74.02 244.36,73.90 244.65,74.17 244.93,74.45 245.22,74.72 245.50,74.60 245.78,74.49 246.07,74.37 246.35,74.64 246.64,74.52 246.92,74.41 247.21,74.68 247.49,74.56 247.78,74.83 248.06,75.10 248.35,74.98 248.63,74.87 248.92,74.75 249.20,74.64 249.48,74.53 249.77,74.41 250.05,74.30 250.34,74.18 250.62,74.07 250.91,73.96 251.19,73.85 251.48,73.73 251.76,74.00 252.05,74.26 252.33,74.15 252.62,74.04 252.90,73.93 253.19,74.19 253.47,74.45 253.75,74.34 254.04,74.60 254.32,74.86 254.61,74.75 254.89,74.64 255.18,74.90 255.46,74.78 255.75,74.67 256.03,74.56 256.32,74.45 256.60,74.34 256.89,74.23 257.17,74.49 257.45,74.38 257.74,74.27 258.02,74.16 258.31,74.42 258.59,74.67 258.88,74.56 259.16,74.82 259.45,74.71 259.73,74.96 260.02,74.85 260.30,74.74 260.59,75.00 260.87,74.89 261.16,75.14 261.44,75.03 261.72,74.92 262.01,75.17 262.29,75.42 262.58,75.67 262.86,75.56 263.15,75.81 263.43,75.70 263.72,75.95 264.00,75.84 264.29,75.73 264.57,75.62 264.86,75.87 265.14,75.76 265.42,75.65 265.71,75.55 265.99,75.44 266.28,75.33 266.56,75.58 266.85,75.82 267.13,75.71 267.42,75.96 267.70,75.85 267.99,75.74 268.27,75.64 268.56,75.53 268.84,75.77 269.13,75.67 269.41,75.56 269.69,75.80 269.98,75.70 270.26,75.59 270.55,75.49 270.83,75.39 271.12,75.28 271.40,75.18 271.69,75.08 271.97,74.97 272.26,74.87 272.54,75.11 272.83,75.00 273.11,74.90 273.39,74.80 273.68,75.04 273.96,75.27 274.25,75.17 274.53,75.07 274.82,74.97 275.10,74.87 275.39,74.76 275.67,75.00 275.96,74.90 276.24,74.80 276.53,74.70 276.81,74.60 277.10,74.50 277.38,74.40 277.66,74.63 277.95,74.53 278.23,74.43 278.52,74.33 278.80,74.23 279.09,74.46 279.37,74.37 279.66,74.27 279.94,74.17 280.23,74.07 280.51,73.97 280.80,73.87 281.08,73.78 281.36,73.68 281.65,73.91 281.93,73.81 282.22,74.04 282.50,74.27 282.79,74.17 283.07,74.40 283.36,74.30 283.64,74.21 283.93,74.11 284.21,74.01 284.50,73.92 284.78,73.82 285.06,74.05 285.35,73.95 285.63,73.86 285.92,73.76 286.20,73.99 286.49,73.89 286.77,73.80 287.06,73.70 287.34,73.61 287.63,73.51 287.91,73.74 288.20,73.64 288.48,73.55 288.77,73.45 289.05,73.36 289.33,73.27 289.62,73.17 289.90,73.08 290.19,73.30 290.47,73.53 290.76,73.75 291.04,73.97 291.33,73.87 291.61,74.09 291.90,74.31 292.18,74.53 292.47,74.75 292.75,74.97 293.03,74.87 293.32,74.78 293.60,74.69 293.89,74.59 294.17,74.50 294.46,74.41 294.74,74.32 295.03,74.22 295.31,74.13 295.60,74.04 295.88,73.95 296.17,74.16 296.45,74.07 296.74,74.29 297.02,74.20 297.30,74.41 297.59,74.32 297.87,74.23 298.16,74.44 298.44,74.65 298.73,74.56 299.01,74.47 299.30,74.38 299.58,74.29 299.87,74.20 300.15,74.41 300.44,74.62 300.72,74.83 301.00,74.74 301.29,74.95 301.57,74.86 301.86,75.07 302.14,74.98 302.43,74.89 302.71,74.80 303.00,74.71 303.28,74.92 303.57,74.83 303.85,75.04 304.14,74.95 304.42,74.86 304.71,75.07 304.99,75.27 305.27,75.18 305.56,75.10 305.84,75.01 306.13,74.92 306.41,74.83 306.70,75.03 306.98,75.24 307.27,75.15 307.55,75.06 307.84,74.97 308.12,74.89 308.41,75.09 308.69,75.00 308.97,74.91 309.26,74.83 309.54,75.03 309.83,75.23 310.11,75.43 310.40,75.35 310.68,75.55 310.97,75.46 311.25,75.37 311.54,75.57 311.82,75.49 312.11,75.69 312.39,75.89 312.68,76.09 312.96,76.00 313.24,76.20 313.53,76.40 313.81,76.31 314.10,76.22 314.38,76.42 314.67,76.62 314.95,76.53 315.24,76.73 315.52,76.92 315.81,76.84 316.09,77.03 316.38,76.94 316.66,76.86 316.94,77.05 317.23,76.96 317.51,76.88 317.80,76.79 318.08,76.70 318.37,76.62 318.65,76.81 318.94,76.72 319.22,76.92 319.51,76.83 319.79,76.75 320.08,76.66 320.36,76.85 320.65,76.77 320.93,76.96 321.21,76.87 321.50,77.06 321.78,77.26 322.07,77.17 322.35,77.08 322.64,77.00 322.92,76.91 323.21,76.83 323.49,76.74 323.78,76.66 324.06,76.57 324.35,76.49 324.63,76.40 324.91,76.32 325.20,76.51 325.48,76.43 325.77,76.34 326.05,76.26 326.34,76.45 326.62,76.64 326.91,76.55 327.19,76.47 327.48,76.38 327.76,76.30 328.05,76.22 328.33,76.14 328.62,76.05 328.90,76.24 329.18,76.43 329.47,76.61 329.75,76.80 330.04,76.72 330.32,76.90 330.61,76.82 330.89,76.74 331.18,76.92 331.46,76.84 331.75,77.03 332.03,77.21 332.32,77.13 332.60,77.05 332.88,76.96 333.17,76.88 333.45,76.80 333.74,76.98 334.02,77.17 334.31,77.08 334.59,77.00 334.88,76.92 335.16,76.84 335.45,76.76 335.73,76.67 336.02,76.59 336.30,76.51 336.59,76.43 336.87,76.35 337.15,76.27 337.44,76.45 337.72,76.37 338.01,76.55 338.29,76.73 338.58,76.65 338.86,76.83 339.15,76.75 ' style='stroke-width: 1.07; stroke: #E76BF3; stroke-linecap: butt;' clip-path='url(#cpNDAuNTd8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<defs>
  <clipPath id='cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA='>
    <rect x='0.00' y='0.00' width='432.00' height='266.98' />
  </clipPath>
</defs>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='18.51' y='195.30' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='17.13px' lengthAdjust='spacingAndGlyphs'>0.25</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='18.51' y='129.97' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='17.13px' lengthAdjust='spacingAndGlyphs'>0.50</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='18.51' y='64.65' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='17.13px' lengthAdjust='spacingAndGlyphs'>0.75</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='52.06' y='246.48' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='4.89px' lengthAdjust='spacingAndGlyphs'>0</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='118.32' y='246.48' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='14.68px' lengthAdjust='spacingAndGlyphs'>250</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='189.48' y='246.48' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='14.68px' lengthAdjust='spacingAndGlyphs'>500</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='260.65' y='246.48' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='14.68px' lengthAdjust='spacingAndGlyphs'>750</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='329.36' y='246.48' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='19.58px' lengthAdjust='spacingAndGlyphs'>1000</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='155.09' y='259.08' style='font-size: 11.00px; font-family: Arial;' textLength='83.75px' lengthAdjust='spacingAndGlyphs'>Number of draws</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text transform='translate(13.35,142.99) rotate(-90)' style='font-size: 11.00px; font-family: Arial;' textLength='45.25px' lengthAdjust='spacingAndGlyphs'>polya.urn</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='369.80' y='78.36' style='font-size: 11.00px; font-family: Arial;' textLength='51.36px' lengthAdjust='spacingAndGlyphs'>Simulation</text></g>
<line x1='371.53' y1='93.70' x2='385.36' y2='93.70' style='stroke-width: 1.07; stroke: #F8766D; stroke-linecap: butt;' clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)' />
<line x1='371.53' y1='110.98' x2='385.36' y2='110.98' style='stroke-width: 1.07; stroke: #A3A500; stroke-linecap: butt;' clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)' />
<line x1='371.53' y1='128.26' x2='385.36' y2='128.26' style='stroke-width: 1.07; stroke: #00BF7D; stroke-linecap: butt;' clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)' />
<line x1='371.53' y1='145.54' x2='385.36' y2='145.54' style='stroke-width: 1.07; stroke: #00B0F6; stroke-linecap: butt;' clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)' />
<line x1='371.53' y1='162.82' x2='385.36' y2='162.82' style='stroke-width: 1.07; stroke: #E76BF3; stroke-linecap: butt;' clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)' />
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='392.56' y='96.85' style='font-size: 8.80px; font-family: Arial;' textLength='5.87px' lengthAdjust='spacingAndGlyphs'>A</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='392.56' y='114.13' style='font-size: 8.80px; font-family: Arial;' textLength='5.87px' lengthAdjust='spacingAndGlyphs'>B</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='392.56' y='131.41' style='font-size: 8.80px; font-family: Arial;' textLength='6.36px' lengthAdjust='spacingAndGlyphs'>C</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='392.56' y='148.69' style='font-size: 8.80px; font-family: Arial;' textLength='6.36px' lengthAdjust='spacingAndGlyphs'>D</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='392.56' y='165.97' style='font-size: 8.80px; font-family: Arial;' textLength='5.87px' lengthAdjust='spacingAndGlyphs'>E</text></g>
</svg>
" width="70%" /> --- ## Asymptotic Uniform distribution of the proportion of black balls <img src="data:image/svg+xml;base64,<?xml version='1.0' encoding='UTF-8' ?>
<svg xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' viewBox='0 0 432.00 266.98'>
<defs>
  <style type='text/css'><![CDATA[
    line, polyline, polygon, path, rect, circle {
      fill: none;
      stroke: #000000;
      stroke-linecap: round;
      stroke-linejoin: round;
      stroke-miterlimit: 10.00;
    }
  ]]></style>
</defs>
<rect width='100%' height='100%' style='stroke: none; fill: #FFFFFF;'/>
<defs>
  <clipPath id='cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4'>
    <rect x='35.68' y='5.48' width='390.84' height='229.77' />
  </clipPath>
</defs>
<polyline points='35.68,186.57 426.52,186.57 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='35.68,110.10 426.52,110.10 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='35.68,33.62 426.52,33.62 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='102.38,235.25 102.38,5.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='188.42,235.25 188.42,5.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='274.46,235.25 274.46,5.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='360.50,235.25 360.50,5.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='35.68,224.81 426.52,224.81 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='35.68,148.33 426.52,148.33 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='35.68,71.86 426.52,71.86 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='59.37,235.25 59.37,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='145.40,235.25 145.40,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='231.44,235.25 231.44,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='317.48,235.25 317.48,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<polyline points='403.52,235.25 403.52,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='53.44' y='149.25' width='11.84' height='75.55' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='65.29' y='73.70' width='11.84' height='151.11' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='77.13' y='69.26' width='11.84' height='155.55' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='88.97' y='55.92' width='11.84' height='168.89' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='100.82' y='87.03' width='11.84' height='137.77' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='112.66' y='51.48' width='11.84' height='173.33' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='124.51' y='82.59' width='11.84' height='142.22' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='136.35' y='24.81' width='11.84' height='200.00' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='148.19' y='91.48' width='11.84' height='133.33' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='160.04' y='78.14' width='11.84' height='146.66' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='171.88' y='64.81' width='11.84' height='160.00' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='183.72' y='104.81' width='11.84' height='120.00' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='195.57' y='51.48' width='11.84' height='173.33' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='207.41' y='87.03' width='11.84' height='137.77' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='219.26' y='64.81' width='11.84' height='160.00' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='231.10' y='87.03' width='11.84' height='137.77' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='242.94' y='33.70' width='11.84' height='191.11' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='254.79' y='100.37' width='11.84' height='124.44' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='266.63' y='47.03' width='11.84' height='177.77' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='278.47' y='118.14' width='11.84' height='106.66' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='290.32' y='69.26' width='11.84' height='155.55' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='302.16' y='15.92' width='11.84' height='208.88' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='314.01' y='113.70' width='11.84' height='111.11' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='325.85' y='64.81' width='11.84' height='160.00' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='337.69' y='64.81' width='11.84' height='160.00' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='349.54' y='100.37' width='11.84' height='124.44' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='361.38' y='78.14' width='11.84' height='146.66' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='373.22' y='55.92' width='11.84' height='168.89' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='385.07' y='55.92' width='11.84' height='168.89' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<rect x='396.91' y='158.14' width='11.84' height='66.67' style='stroke-width: 1.07; stroke-linecap: square; stroke-linejoin: miter; fill: #FFFFFF;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<line x1='35.68' y1='71.86' x2='426.52' y2='71.86' style='stroke-width: 1.07; stroke: #FF0000; stroke-dasharray: 1.42,4.27; stroke-linecap: butt;' clip-path='url(#cpMzUuNjh8NDI2LjUyfDIzNS4yNXw1LjQ4)' />
<defs>
  <clipPath id='cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA='>
    <rect x='0.00' y='0.00' width='432.00' height='266.98' />
  </clipPath>
</defs>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='18.51' y='227.96' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='12.23px' lengthAdjust='spacingAndGlyphs'>0.0</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='18.51' y='151.48' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='12.23px' lengthAdjust='spacingAndGlyphs'>0.5</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='18.51' y='75.01' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='12.23px' lengthAdjust='spacingAndGlyphs'>1.0</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='50.80' y='246.48' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='17.13px' lengthAdjust='spacingAndGlyphs'>0.00</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='136.84' y='246.48' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='17.13px' lengthAdjust='spacingAndGlyphs'>0.25</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='222.88' y='246.48' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='17.13px' lengthAdjust='spacingAndGlyphs'>0.50</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='308.92' y='246.48' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='17.13px' lengthAdjust='spacingAndGlyphs'>0.75</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='394.96' y='246.48' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='17.13px' lengthAdjust='spacingAndGlyphs'>1.00</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='185.24' y='259.08' style='font-size: 11.00px; font-family: Arial;' textLength='91.71px' lengthAdjust='spacingAndGlyphs'>Limiting Proportion</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text transform='translate(13.35,138.71) rotate(-90)' style='font-size: 11.00px; font-family: Arial;' textLength='36.68px' lengthAdjust='spacingAndGlyphs'>Density</text></g>
</svg>
" width="70%" /> * In the limit the distribution is `\(U(0,1)\)` --- ## Simulate stock price as a random (stochastic) model Equation for the future price `\(S\)` of a stock: `\begin{align*} dS = S (\mu dT + \sigma \sqrt{dT} \mathcal N) \end{align*}` * `\(\mu\)` is the growth rate of the stock price * `\(\sigma\)` is known as the volatility. - Think of this as the variance of the stock price * `\(\mathcal N\)` is a normal random variable * `\(dT\)` is one unit of time --- ## Examples of a stock price <img src="data:image/svg+xml;base64,<?xml version='1.0' encoding='UTF-8' ?>
<svg xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' viewBox='0 0 432.00 266.98'>
<defs>
  <style type='text/css'><![CDATA[
    line, polyline, polygon, path, rect, circle {
      fill: none;
      stroke: #000000;
      stroke-linecap: round;
      stroke-linejoin: round;
      stroke-miterlimit: 10.00;
    }
  ]]></style>
</defs>
<rect width='100%' height='100%' style='stroke: none; fill: #FFFFFF;'/>
<defs>
  <clipPath id='cpMzguMTN8MzUzLjM2fDIzNS4yNXw1LjQ4'>
    <rect x='38.13' y='5.48' width='315.24' height='229.77' />
  </clipPath>
</defs>
<polyline points='38.13,214.81 353.36,214.81 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguMTN8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='38.13,146.18 353.36,146.18 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguMTN8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='38.13,77.55 353.36,77.55 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguMTN8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='38.13,8.91 353.36,8.91 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguMTN8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='92.26,235.25 92.26,5.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguMTN8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='171.86,235.25 171.86,5.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguMTN8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='251.47,235.25 251.47,5.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguMTN8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='331.08,235.25 331.08,5.48 ' style='stroke-width: 0.53; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguMTN8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='38.13,180.50 353.36,180.50 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguMTN8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='38.13,111.86 353.36,111.86 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguMTN8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='38.13,43.23 353.36,43.23 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguMTN8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='52.46,235.25 52.46,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguMTN8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='132.06,235.25 132.06,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguMTN8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='211.67,235.25 211.67,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguMTN8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='291.27,235.25 291.27,5.48 ' style='stroke-width: 1.07; stroke: #EBEBEB; stroke-linecap: butt;' clip-path='url(#cpMzguMTN8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='52.46,111.86 55.64,112.59 58.82,111.42 62.01,103.50 65.19,96.36 68.38,99.07 71.56,105.01 74.75,107.40 77.93,127.25 81.11,132.53 84.30,137.03 87.48,133.81 90.67,125.90 93.85,144.84 97.04,143.65 100.22,145.60 103.40,135.27 106.59,147.48 109.77,160.77 112.96,173.22 116.14,167.13 119.32,174.21 122.51,163.17 125.69,163.79 128.88,151.51 132.06,141.12 135.25,139.64 138.43,146.76 141.61,143.84 144.80,148.72 147.98,138.55 151.17,119.69 154.35,113.68 157.54,96.26 160.72,99.41 163.90,104.17 167.09,98.04 170.27,97.98 173.46,115.10 176.64,104.96 179.82,111.63 183.01,117.19 186.19,119.99 189.38,126.66 192.56,131.72 195.75,132.16 198.93,127.74 202.11,118.79 205.30,113.63 208.48,119.77 211.67,103.83 214.85,107.51 218.04,109.52 221.22,116.40 224.40,100.30 227.59,91.66 230.77,83.05 233.96,67.27 237.14,68.76 240.32,62.12 243.51,67.12 246.69,65.95 249.88,45.36 253.06,52.40 256.25,61.28 259.43,50.22 262.61,34.49 265.80,55.75 268.98,60.43 272.17,53.35 275.35,41.18 278.54,56.95 281.72,48.48 284.90,56.00 288.09,49.67 291.27,38.36 294.46,37.31 297.64,34.95 300.83,21.46 304.01,19.11 307.19,15.92 310.38,34.89 313.56,41.15 316.75,43.06 319.93,45.60 323.11,40.36 326.30,50.04 329.48,42.68 332.67,44.89 335.85,38.51 339.04,23.90 ' style='stroke-width: 1.07; stroke: #F8766D; stroke-linecap: butt;' clip-path='url(#cpMzguMTN8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='52.46,111.86 55.64,104.54 58.82,107.57 62.01,110.99 65.19,109.68 68.38,99.44 71.56,110.04 74.75,92.05 77.93,84.86 81.11,80.37 84.30,69.19 87.48,64.97 90.67,67.43 93.85,76.17 97.04,80.09 100.22,91.31 103.40,90.79 106.59,84.62 109.77,97.35 112.96,82.78 116.14,84.95 119.32,74.29 122.51,72.05 125.69,48.46 128.88,64.11 132.06,78.42 135.25,80.53 138.43,69.52 141.61,76.58 144.80,94.49 147.98,96.95 151.17,93.86 154.35,107.74 157.54,110.59 160.72,116.97 163.90,131.34 167.09,129.04 170.27,142.27 173.46,135.46 176.64,131.97 179.82,132.61 183.01,129.81 186.19,139.16 189.38,147.52 192.56,153.94 195.75,151.35 198.93,147.71 202.11,134.58 205.30,132.05 208.48,133.89 211.67,132.86 214.85,133.03 218.04,131.05 221.22,126.26 224.40,124.29 227.59,111.62 230.77,111.56 233.96,107.44 237.14,93.83 240.32,91.67 243.51,96.28 246.69,93.49 249.88,99.66 253.06,88.10 256.25,101.45 259.43,102.48 262.61,100.47 265.80,98.84 268.98,108.04 272.17,111.04 275.35,123.30 278.54,130.77 281.72,127.56 284.90,135.85 288.09,131.14 291.27,140.37 294.46,148.30 297.64,148.25 300.83,145.40 304.01,141.99 307.19,144.21 310.38,139.47 313.56,136.00 316.75,123.72 319.93,124.27 323.11,111.12 326.30,106.72 329.48,103.33 332.67,91.47 335.85,77.75 339.04,67.19 ' style='stroke-width: 1.07; stroke: #A3A500; stroke-linecap: butt;' clip-path='url(#cpMzguMTN8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='52.46,111.86 55.64,106.47 58.82,123.56 62.01,121.04 65.19,125.53 68.38,128.08 71.56,138.95 74.75,145.78 77.93,158.66 81.11,158.82 84.30,166.96 87.48,172.70 90.67,182.88 93.85,194.45 97.04,186.08 100.22,180.86 103.40,175.65 106.59,172.16 109.77,170.40 112.96,174.75 116.14,169.53 119.32,171.17 122.51,187.98 125.69,186.11 128.88,199.24 132.06,208.80 135.25,204.41 138.43,201.58 141.61,205.59 144.80,205.26 147.98,209.90 151.17,199.59 154.35,201.75 157.54,213.35 160.72,217.51 163.90,213.93 167.09,215.02 170.27,220.53 173.46,219.86 176.64,223.53 179.82,212.89 183.01,221.22 186.19,209.32 189.38,208.34 192.56,207.23 195.75,210.27 198.93,200.91 202.11,205.54 205.30,221.27 208.48,224.81 211.67,221.09 214.85,214.59 218.04,217.00 221.22,219.11 224.40,210.75 227.59,200.96 230.77,206.22 233.96,208.76 237.14,207.57 240.32,204.93 243.51,198.77 246.69,191.77 249.88,186.73 253.06,180.40 256.25,190.90 259.43,185.93 262.61,185.67 265.80,178.72 268.98,181.92 272.17,168.20 275.35,153.62 278.54,148.41 281.72,152.97 284.90,162.74 288.09,164.27 291.27,167.61 294.46,170.63 297.64,173.43 300.83,170.05 304.01,181.64 307.19,174.79 310.38,171.36 313.56,171.72 316.75,174.87 319.93,178.72 323.11,178.41 326.30,177.86 329.48,173.17 332.67,173.49 335.85,172.40 339.04,176.68 ' style='stroke-width: 1.07; stroke: #00BF7D; stroke-linecap: butt;' clip-path='url(#cpMzguMTN8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='52.46,111.86 55.64,112.24 58.82,114.30 62.01,114.22 65.19,108.61 68.38,113.05 71.56,115.13 74.75,121.65 77.93,111.31 81.11,112.52 84.30,123.10 87.48,122.04 90.67,119.39 93.85,115.11 97.04,109.77 100.22,119.63 103.40,103.09 106.59,110.28 109.77,112.25 112.96,115.21 116.14,125.85 119.32,123.31 122.51,119.01 125.69,123.83 128.88,123.17 132.06,128.74 135.25,139.52 138.43,136.94 141.61,136.52 144.80,143.88 147.98,155.88 151.17,158.02 154.35,157.29 157.54,156.05 160.72,142.17 163.90,166.81 167.09,166.09 170.27,170.65 173.46,161.82 176.64,163.53 179.82,156.19 183.01,156.73 186.19,148.31 189.38,147.82 192.56,138.49 195.75,130.55 198.93,125.47 202.11,118.86 205.30,117.13 208.48,111.04 211.67,114.34 214.85,125.96 218.04,107.99 221.22,107.86 224.40,101.09 227.59,104.20 230.77,95.87 233.96,105.89 237.14,111.37 240.32,105.81 243.51,100.85 246.69,95.51 249.88,87.51 253.06,111.14 256.25,113.47 259.43,108.92 262.61,106.55 265.80,107.05 268.98,107.22 272.17,114.89 275.35,124.01 278.54,121.57 281.72,116.06 284.90,123.18 288.09,118.47 291.27,122.06 294.46,128.84 297.64,126.66 300.83,122.57 304.01,128.61 307.19,123.70 310.38,129.42 313.56,123.23 316.75,107.10 319.93,105.97 323.11,103.70 326.30,117.49 329.48,126.85 332.67,124.59 335.85,136.14 339.04,118.29 ' style='stroke-width: 1.07; stroke: #00B0F6; stroke-linecap: butt;' clip-path='url(#cpMzguMTN8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<polyline points='52.46,111.86 55.64,102.99 58.82,100.63 62.01,94.12 65.19,86.13 68.38,93.07 71.56,90.74 74.75,84.05 77.93,96.24 81.11,105.19 84.30,104.57 87.48,107.89 90.67,107.77 93.85,102.03 97.04,105.98 100.22,114.20 103.40,114.03 106.59,103.02 109.77,101.24 112.96,93.80 116.14,92.77 119.32,99.80 122.51,95.87 125.69,86.34 128.88,75.53 132.06,83.36 135.25,86.66 138.43,88.88 141.61,75.06 144.80,73.40 147.98,49.96 151.17,45.25 154.35,47.52 157.54,33.57 160.72,52.92 163.90,55.34 167.09,63.89 170.27,81.41 173.46,67.09 176.64,68.85 179.82,61.89 183.01,92.79 186.19,106.91 189.38,95.17 192.56,104.84 195.75,118.67 198.93,126.90 202.11,142.55 205.30,128.49 208.48,129.88 211.67,125.19 214.85,123.03 218.04,125.09 221.22,114.75 224.40,121.19 227.59,119.75 230.77,118.49 233.96,107.76 237.14,109.08 240.32,124.63 243.51,124.61 246.69,126.08 249.88,129.63 253.06,136.36 256.25,139.09 259.43,151.57 262.61,161.90 265.80,164.13 268.98,173.16 272.17,167.65 275.35,171.54 278.54,171.67 281.72,170.46 284.90,169.06 288.09,168.56 291.27,164.45 294.46,152.30 297.64,145.45 300.83,141.51 304.01,153.84 307.19,156.84 310.38,156.33 313.56,152.09 316.75,155.83 319.93,146.59 323.11,148.08 326.30,134.77 329.48,147.90 332.67,141.37 335.85,153.80 339.04,157.86 ' style='stroke-width: 1.07; stroke: #E76BF3; stroke-linecap: butt;' clip-path='url(#cpMzguMTN8MzUzLjM2fDIzNS4yNXw1LjQ4)' />
<defs>
  <clipPath id='cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA='>
    <rect x='0.00' y='0.00' width='432.00' height='266.98' />
  </clipPath>
</defs>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='23.41' y='183.65' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='9.79px' lengthAdjust='spacingAndGlyphs'>80</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='18.51' y='115.01' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='14.68px' lengthAdjust='spacingAndGlyphs'>100</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='18.51' y='46.38' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='14.68px' lengthAdjust='spacingAndGlyphs'>120</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='50.01' y='246.48' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='4.89px' lengthAdjust='spacingAndGlyphs'>0</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='127.17' y='246.48' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='9.79px' lengthAdjust='spacingAndGlyphs'>25</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='206.77' y='246.48' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='9.79px' lengthAdjust='spacingAndGlyphs'>50</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='286.38' y='246.48' style='font-size: 8.80px; fill: #4D4D4D; font-family: Arial;' textLength='9.79px' lengthAdjust='spacingAndGlyphs'>75</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='185.97' y='259.08' style='font-size: 11.00px; font-family: Arial;' textLength='19.56px' lengthAdjust='spacingAndGlyphs'>Day</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text transform='translate(13.35,161.63) rotate(-90)' style='font-size: 11.00px; font-family: Arial;' textLength='82.53px' lengthAdjust='spacingAndGlyphs'>Stock price (in $)</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='369.80' y='78.36' style='font-size: 11.00px; font-family: Arial;' textLength='51.36px' lengthAdjust='spacingAndGlyphs'>Simulation</text></g>
<line x1='371.53' y1='93.70' x2='385.36' y2='93.70' style='stroke-width: 1.07; stroke: #F8766D; stroke-linecap: butt;' clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)' />
<line x1='371.53' y1='110.98' x2='385.36' y2='110.98' style='stroke-width: 1.07; stroke: #A3A500; stroke-linecap: butt;' clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)' />
<line x1='371.53' y1='128.26' x2='385.36' y2='128.26' style='stroke-width: 1.07; stroke: #00BF7D; stroke-linecap: butt;' clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)' />
<line x1='371.53' y1='145.54' x2='385.36' y2='145.54' style='stroke-width: 1.07; stroke: #00B0F6; stroke-linecap: butt;' clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)' />
<line x1='371.53' y1='162.82' x2='385.36' y2='162.82' style='stroke-width: 1.07; stroke: #E76BF3; stroke-linecap: butt;' clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)' />
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='392.56' y='96.85' style='font-size: 8.80px; font-family: Arial;' textLength='5.87px' lengthAdjust='spacingAndGlyphs'>A</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='392.56' y='114.13' style='font-size: 8.80px; font-family: Arial;' textLength='5.87px' lengthAdjust='spacingAndGlyphs'>B</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='392.56' y='131.41' style='font-size: 8.80px; font-family: Arial;' textLength='6.36px' lengthAdjust='spacingAndGlyphs'>C</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='392.56' y='148.69' style='font-size: 8.80px; font-family: Arial;' textLength='6.36px' lengthAdjust='spacingAndGlyphs'>D</text></g>
<g clip-path='url(#cpMC4wMHw0MzIuMDB8MjY2Ljk4fDAuMDA=)'><text x='392.56' y='165.97' style='font-size: 8.80px; font-family: Arial;' textLength='5.87px' lengthAdjust='spacingAndGlyphs'>E</text></g>
</svg>
" width="70%" /> --- ## Options A .brand-red[call] option gives you the right to buy a stock at a particular price at expiry > E.g. 90 day call option with $105 strike. Let’s say your stock is currently priced at $100, if it hits $108 at day 90, then you can exercise the option and make a $3 profit. If its price is below $105 at day 90, then you make nothing. A .brand-red[put] option gives you the right to sell a stock at a particular price at expiry --- ## Option pricing with Monte Carlo * How much would you pay for a call option? Think of this as the amount of insurance premium. * Using Monte Carlo simulation, simulate many realisations of the stock price. For each realisation, calculate the option payoff * The price you should pay for the option is the expected value of the profit you should make --- ## References Shonkwiler, R. W. and F. Mendivil (2009). _Explorations in Monte Carlo Methods_. Springer Science & Business Media.